{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "重要因素： ['人均本地生产总值', '工业增加值占GDP比重(%)']  \n",
    "较重要因素： ['留宿旅客', '第三产业产值（万亿元人民币）', '本地生产总值(亿元)', '博物馆数量(所)', '高等学校在校生数(人)']  \n",
    "一般因素： ['货物进出口货值（亿人民币）', '就业人口', '零售业销售额', '人口', '第一产业产值（万亿元人民币）', '第二产业产值（万亿元人民币）', '专利申请数(项)', '旅游收入(亿元)']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 第二问：预测未来经济走势"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SARIMA模型预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.tsa.stattools import adfuller,acf,pacf\n",
    "from statsmodels.tsa.arima.model import ARIMA\n",
    "from statsmodels.tsa.statespace.sarimax import SARIMAX\n",
    "from statsmodels.graphics.tsaplots import plot_acf,plot_pacf\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "plt.rcParams['font.sans-serif'] = ['simHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "#预测GDP总值\n",
    "df = pd.read_excel(r\"粤港澳大湾区数据.xlsx\")\n",
    "years = list(range(2011, 2023))\n",
    "df.index = years\n",
    "x1 = df['人均本地生产总值'].astype('float32')\n",
    "x2 = df['工业增加值占GDP比重(%)']\n",
    "x3 = df['留宿旅客']\n",
    "x4 = df['第三产业产值（万亿元人民币）']\n",
    "x5 = df['本地生产总值(亿元)']\n",
    "x6 = df['高等学校在校生数(人)']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 人均本地生产总值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -3.1873933424920335\n",
      "p-value: 0.02072609737098186\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                     SARIMAX Results                                      \n",
      "==========================================================================================\n",
      "Dep. Variable:                           人均本地生产总值   No. Observations:                   12\n",
      "Model:             SARIMAX(1, 1, 1)x(1, 1, 1, 12)   Log Likelihood                   0.000\n",
      "Date:                            Wed, 06 Nov 2024   AIC                             10.000\n",
      "Time:                                    01:56:32   BIC                                nan\n",
      "Sample:                                         0   HQIC                               nan\n",
      "                                             - 12                                         \n",
      "Covariance Type:                              opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "ar.L1               0         -0        nan        nan           0           0\n",
      "ma.L1               0         -0        nan        nan           0           0\n",
      "ar.S.L12            0         -0        nan        nan           0           0\n",
      "ma.S.L12            0         -0        nan        nan           0           0\n",
      "sigma2         1.0000         -0       -inf      0.000       1.000       1.000\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                         nan   Jarque-Bera (JB):                  nan\n",
      "Prob(Q):                               nan   Prob(JB):                          nan\n",
      "Heteroskedasticity (H):                nan   Skew:                              nan\n",
      "Prob(H) (two-sided):                   nan   Kurtosis:                          nan\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "[2] Covariance matrix is singular or near-singular, with condition number    inf. Standard errors may be unstable.\n",
      "12    2.344131e+06\n",
      "13    2.436818e+06\n",
      "14    2.567515e+06\n",
      "15    2.624480e+06\n",
      "16    2.542857e+06\n",
      "17    2.591987e+06\n",
      "18    2.726147e+06\n",
      "19    2.824787e+06\n",
      "20    2.847951e+06\n",
      "21    2.504414e+06\n",
      "dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df=x1\n",
    "#绘制时间序列图\n",
    "plt.plot(df)\n",
    "plt.title(\"粤港澳人均本地生产总值变化\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"GDP总值\")\n",
    "plt.show()\n",
    "\n",
    "#一阶差分\n",
    "skirtsdiff=df.diff().dropna()\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(skirtsdiff)\n",
    "plt.title(\"粤港澳人均本地生产总值变化(差分后)\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"GDP（亿元人民币）\")\n",
    "plt.axhline(y=0,color='r')\n",
    "plt.show()\n",
    "\n",
    "# 平稳性检验\n",
    "adf_result = adfuller(skirtsdiff)\n",
    "print(f'ADF Statistic: {adf_result[0]}')\n",
    "print(f'p-value: {adf_result[1]}')\n",
    "\n",
    "#计算样本大小和设置滞后阶数\n",
    "sample_size = len(skirtsdiff)\n",
    "max_lags = sample_size // 2 - 1  #设置最大滞后阶数为小于样本大小一半的值\n",
    "\n",
    "#ACF和PACF图\n",
    "plt.figure(figsize=(12,6))\n",
    "\n",
    "plt.subplot(121)\n",
    "plot_acf(skirtsdiff,lags=max_lags,ax=plt.gca())\n",
    "\n",
    "plt.subplot(122)\n",
    "plot_pacf(skirtsdiff,lags=max_lags,ax=plt.gca())\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# 使用SARIMA 模型\n",
    "seasonal_order = (1,1,1,12)\n",
    "model = SARIMAX(df,order=(1,1,1),seasonal_order=seasonal_order)\n",
    "skirtsarima_fit = model.fit(disp=False)\n",
    "print(skirtsarima_fit.summary())\n",
    "\n",
    "# 使用SARIMA模型生成未来预测值\n",
    "forecast_steps = 10\n",
    "skirtsarimaforecast_values = skirtsarima_fit.get_forecast(steps=forecast_steps)\n",
    "forecast_mean = skirtsarimaforecast_values.predicted_mean\n",
    "print(forecast_mean)\n",
    "y1=forecast_mean\n",
    "y1=y1.astype('float32')\n",
    "\n",
    "forecasted_time_series = np.concatenate([df,forecast_mean])\n",
    "start_year = 2011\n",
    "years = np.arange(start_year, start_year + len(forecasted_time_series))\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(years, forecasted_time_series,label=\"预测值\")\n",
    "plt.title(\"粤港澳人均本地生产总值未来趋势(差分后)\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"GDP（亿元人民币）\")\n",
    "plt.xticks(np.arange(2011, 2033, 2))\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 工业增加值占GDP比重(%)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -1.9013013618929222\n",
      "p-value: 0.3314491568866315\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                     SARIMAX Results                                     \n",
      "=========================================================================================\n",
      "Dep. Variable:                    工业增加值占GDP比重(%)   No. Observations:                   12\n",
      "Model:             SARIMAX(1, 1, 1)x(1, 1, 1, 2)   Log Likelihood                 -11.433\n",
      "Date:                           Wed, 06 Nov 2024   AIC                             32.867\n",
      "Time:                                   01:56:32   BIC                             33.853\n",
      "Sample:                                        0   HQIC                            30.739\n",
      "                                            - 12                                         \n",
      "Covariance Type:                             opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "ar.L1         -0.3008      6.156     -0.049      0.961     -12.366      11.764\n",
      "ma.L1          0.8658      6.903      0.125      0.900     -12.663      14.395\n",
      "ar.S.L2       -0.8958      2.916     -0.307      0.759      -6.611       4.819\n",
      "ma.S.L2        0.5372      6.800      0.079      0.937     -12.791      13.865\n",
      "sigma2         0.5685      1.961      0.290      0.772      -3.276       4.413\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                        4.49   Jarque-Bera (JB):                 7.32\n",
      "Prob(Q):                              0.81   Prob(JB):                         0.03\n",
      "Heteroskedasticity (H):               8.00   Skew:                             1.89\n",
      "Prob(H) (two-sided):                  0.12   Kurtosis:                         5.29\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "12    35.749563\n",
      "13    35.421357\n",
      "14    36.413138\n",
      "15    36.849750\n",
      "16    36.934589\n",
      "17    36.691727\n",
      "18    37.587333\n",
      "19    37.953686\n",
      "20    38.122818\n",
      "21    37.943458\n",
      "dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df=x2\n",
    "#绘制时间序列图\n",
    "plt.plot(df)\n",
    "plt.title(\"粤港澳工业增加值占GDP比重(%)变化\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"比重（%）\")\n",
    "plt.show()\n",
    "\n",
    "#一阶差分\n",
    "skirtsdiff=df.diff().dropna()\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(skirtsdiff)\n",
    "plt.title(\"粤港澳工业增加值占GDP比重(%)变化(差分后)\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"\")\n",
    "plt.axhline(y=0,color='r')\n",
    "plt.show()\n",
    "\n",
    "# 平稳性检验\n",
    "adf_result = adfuller(skirtsdiff)\n",
    "print(f'ADF Statistic: {adf_result[0]}')\n",
    "print(f'p-value: {adf_result[1]}')\n",
    "\n",
    "#计算样本大小和设置滞后阶数\n",
    "sample_size = len(skirtsdiff)\n",
    "max_lags = sample_size // 2 - 1  #设置最大滞后阶数为小于样本大小一半的值\n",
    "\n",
    "#ACF和PACF图\n",
    "plt.figure(figsize=(12,6))\n",
    "\n",
    "plt.subplot(121)\n",
    "plot_acf(skirtsdiff,lags=max_lags,ax=plt.gca())\n",
    "\n",
    "plt.subplot(122)\n",
    "plot_pacf(skirtsdiff,lags=max_lags,ax=plt.gca())\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# 使用SARIMA 模型\n",
    "seasonal_order = (1,1,1,2)\n",
    "model = SARIMAX(df,order=(1,1,1),seasonal_order=seasonal_order)\n",
    "skirtsarima_fit = model.fit(disp=False)\n",
    "print(skirtsarima_fit.summary())\n",
    "\n",
    "# 使用SARIMA模型生成未来预测值\n",
    "forecast_steps = 10\n",
    "skirtsarimaforecast_values = skirtsarima_fit.get_forecast(steps=forecast_steps)\n",
    "forecast_mean = skirtsarimaforecast_values.predicted_mean\n",
    "print(forecast_mean)\n",
    "y2=forecast_mean\n",
    "\n",
    "forecasted_time_series = np.concatenate([df,forecast_mean])\n",
    "start_year = 2011\n",
    "years = np.arange(start_year, start_year + len(forecasted_time_series))\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(years, forecasted_time_series,label=\"预测值\")\n",
    "plt.title(\"粤港澳工业增加值占GDP比重(%)未来趋势(差分后)\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"比重（%）\")\n",
    "plt.xticks(np.arange(2011, 2033, 2))\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 留宿旅客"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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I3Vo3CWk8fl+C3XQXhmzWkzEN1Lx1mVz2wkKaxUXz9k1DQ54kwJkim5aRbftnhxlLFMY0QLN+3M7VL39DhxZxvH3TEDomNg51SIC7f3ZeEbtyCkIdiinDEoUxDcyMZVu4eepSjmnblDfHDqFV00ahDukgvy0OGJYsURjTgLw2fyO/ffM7BnZJZOr1g2gRHxPqkA7jL72XwmY+hRUbzDamAVBVxs9ez98/Wc1px7TiuUsDs49EoLVvEUdMZATrbbe7sGKJwph6TlX568ermDgnjXP6tePvF/YlOkx3kYuMEDq3bGwtijBjicKYeqy4RLn/3eVMW5TO5YM78dCvegdssyGvJCfZKrLhJjw/VhhjjlphcQl3vPkt0xalM25ECg+fHf5JApz9szftyqW4xKbIhgtLFMbUQ3mFxdz42hLe/+4n/ji6J3eN7hm0xf2OVkpSAgXFJWy1/bPDhiUKY+qZ/XmFXPniIr5YvZNHz+3NzSNSQh1SjSS7U2TTbEA7bFiiMKYe2Z1TwKXPL2Tppj08fVG/gO9tHQzJSbY4YLjxJFGISDMRmSkis0Rkhoi0FpGPRGSxiEwsc9xkEZkvIvfXtMwYc7jt+/K4aOJ81uzYz8QrBnB2v/ahDqlWWsbH0LRRlA1ohxGvWhSXAU+q6ihgO3ARMFVVU4EmIpIqIucBkao6BPCLSLfqlnkUszF1VvquXC6cOI+f9h7g5WsGcuoxrUMdUq2JCMm+BEsUYcST6bGqOr7MQx+wBWgrIs2BjsBm4EoO7YM9CxgG9K9m2Vov4jamLlq9fT9XTF5IQXEJr98wmL4dQ7NMeCD5k+JZmGb7Z4cLT8coRGQI0AKYAnQGbgdWAruBeGCre+huoHUNysqfZ6zbrbU4IyPDm8oYE4a+3byXiybNB2D6jUPqRZIAJ1H8tC+PAwXFoQ7F4GGiEJFE4FngWuBB4CZVfQhYBVwDZANx7uEJbizVLTuMqk5S1VRVTfX5fN5UyJgwM299Jpc9v4CmjZxlwruHwTLhgVI682njLut+CgdeDWbHAG8B96jqJpxWRR8RiQQGAQoswelGAugLbKxBmTEN2mcrdnD1S9/QvkUcb900hE4tw2OZ8ECxmU/hxaslPK4DjgfuE5H7gJnAJJzup/nANJwk9aWItAPGAINxEkh1yoxpsN77dit3Tv+O3u2a8vI1A8NuBdhAKE0UG+xeirDg1WD2BGBCueK/lT9OREYApwOPq+q+mpQZ0xC9tmATf3pvOYOSE3nhqhNIiK2fy7U1jomibbNGti1qmAjpb5mq7uHQjKYalRnT0IyfvY7HPw7vZcIDydkW1RJFOLA7s40Jc6rKX2eu4vGPV3N2v3ZMuHxAvU8S4Ox2Z/tnhwdLFMaEsRJ3mfB/z1nPZYM68dSv+4XtXhKBlpyUQFZeEXtyC0MdSoPXMH7jjKmDVJU//Xc5Uxemc9PJKTxyTt1YJjxQ/AdnPtmAdqhZojAmDKkqj81cxZQF6dx4sp8/ju5RZ5YJDxT/wVVkbZwi1CxRGBOGnv5sLZPmpnHVkM7cXYf2kgik9s3jiI4UW/MpDFiiMCbMTJyznmc+X8uFAzrw4FnHNsgkARAVGUGnRNs/OxxYojAmjLw6fyOPzVzFWX3b8dfzj2tQYxIV8fsSbAOjMGCJwpgwMX3xZv703o+c3qs1T/66L5ENPEmAM6C90fbPDjlLFMaEgfe/+4m73/mek7ol8dyl/RvMFNgjSU6Kp6CohJ/22v7ZoWS/jcaE2KcrdvDbN78ltUsik65IJTaq/t9MV11+XwJgM59CzRKFMSE0d00Gt0xdyrHtm/Hi1ScQF2NJoqyDiwPavRQhZYnCmBBZmLaLsa8tJqVVAq9eM7DeLvB3NJISYmgSa/tnh5olCmNC4NvNe7n25W9o3zyO164bSLPG0aEOKSw5+2fHW9dTiFmiMCbIVvyUxZWTF9IyIZap1w8mKSE21CGFNb+tIhtyliiMCaJ1O/dzxeSFJMRGMfX6QbRp1ijUIYW95KQEftp3gLxC2z87VCxRGBMkm3blcNkLCxERplw/iI6J9Wv7Uq8k++JRtf2zQ8kShTFB8NPeA1z6/EIKikqYev2gg9M+zZH5D858skQRKpYojPHYzv15XPbCQrIOFPLqtYPo0aZJqEOqU0qnyNqAduh4kihEpJmIzBSRWSIyQ0Ri3PLxInJWmeMmi8h8Ebm/pmXG1AV7cgq44oVF7MjK4+VrT6BPh2ahDqnOiY+NonXTWBvQDiGvWhSXAU+q6ihgOzBaRE4C2qjq+wAich4QqapDAL+IdKtumUcxGxNQWXmFXPniIjbsyuGFK1MZ0Dkx1CHVWf6kBDbY4oAh40miUNXxqvqp+9AH7AGeBzaKyNlu+Qhguvv9LGBYDcoOIyJjRWSxiCzOyMgIaF2MqY2c/CKueekbVm3PYuLlAxjaNSnUIdVpyb54u+kuhDwdoxCRIUALoDuwAngcGCgitwHxwFb30N1A6xqUHUZVJ6lqqqqm+nw+j2pjTPXkFRZzw6uLWZa+h39e3J+RPVuFOqQ6z58Uz57cQvbkFIQ6lAbJs0QhIonAs8C1QH9gkqpuB6YAI4FsIM49PMGNpbplxoSlgqISbp6yhPlpu/jHr/sypk/bUIdUL9i2qKHl1WB2DPAWcI+qbgLWAX736VRgE7CEQ91IfYGNNSgzJuwUFZfwmzeW8cXqDB49pw/n9u8Q6pDqjeQkZzqxdT+FhlerkF0HHA/cJyL3AS8BvxSRi4Fo4AJgP/CliLQDxgCDAa1mmTFhpaREuevt75m5fDsP/LIXlw7qFOqQ6pUOLeKIihDSbBXZkPAkUajqBGBCueJXyh8nIiOA04HHVXVfTcqMCReqyv3vLec/y7by+1HduW5YcqhDqneiIyPo1LKxtShCJKTrGqvqHg7NaKpRmTHhQFV55MOVvL4wnXEjUrj1FJu97RV/ks18ChUbGDbmKDz56Romf7WBq4d24Q9n9Ah1OPVaspsoSmz/7KCzRGFMLY2fvY5n/7eOi0/oyINn9UJEQh1Sveb3JZBfVMJP+2z/7GCzRGFMLbz09QYe/3g1Z/drx6Pn9rEkEQQHt0W17qegs0RhTA1NW5TOX95fwRnHtuYfF/YlMsKSRDD4LVGEjG3Sa0w1qSrP/W8d//h0DSN6+PjnJf2JirTPWsHiaxJLQmyULQ4YApYojKmGouISHnjvR6YtSue8/u356/nHERNlSSKYRITkJNs/OxQsURhzBLkFRdw+bRmfrdzJuBEp/OGMHjYmESLJSfEs27wn1GE0OPaRyJgq7MrO55LnF/K/VTt5+Jze3DW6pyWJEPL74tmyx/bPDjZLFMZUYtOuHM6fMI9V27L49+UDuGJw51CH1OAlJzn7Z6fvzg11KA2KJQpjKvDd5r2cN34e+w4U8voNgxl1bJtQh2RwNjACbEA7yGyMwphy/rdqB7dMXUZSkxheuWYgfl9CqEMyruSDy43b4oDBZInCmDLeWJTOfe8up1fbpky+OpVWTRqFOiRTRkJsFK2axLLBWhRBZYnCGJx7JJ7+bC3PfL6Wk7v7GH/Z8cTH2p9HOEq2xQGDzsYoTINXWFzCH9/5nmc+X8uFAzrwwlWpliTCmN+XYPdSBJn9NZgGLSe/iFteX8rs1Rncfmo3fntaN5v+Gub8SfHszilgb24BzRvHhDqcBsEShWmwMvbnc+3L37BiWxaPndeHSwbarnR1QdnFAft3skQRDNb1ZBqktIxszpvwNet2ZvP8lQMsSdQh/tKZTzagHTRHTBTiSK3kuQr3fBSRZiIyU0RmicgMEYlxy1uLyLIyx00Wkfkicn9Ny4ypraXpezh/wjxy84uZNnYwp/RsHeqQTA10TGxMZITYgHYQVbdF8Z6IPCkit4rICQAiMgB4vZLjLwOeVNVRwHZgtFv+BBDnvv48IFJVhwB+EelW3bLaVNQYgE9X7ODS5xfQNC6ad24eSr+OzUMdkqmh6MgIOiXa/tnBVOUYhYiIqqqIrAMmAp2BMSIyEcgHLqzodao6vsxDH7BTRE4BcnASB8AIDu2DPQsYBvSvZtnaatbPmIOmLNjEn95bTp/2zZh89QkkJcSGOiRTS8lJ8azPsJvuguVILYqZIvI20AzoCgwGUoH/AltwkkClRGQI0AJYCjwA3F3m6Xhgq/v9bqB1DcrKn2esiCwWkcUZGRlHqJJpaFSVv3+yivvfXc7IHq2YNnawJYk6zp8Uz8Zdtn92sBxp1tMFOK2IW4GHgG3A2apaLCJdgBdF5FRV/dn/logkAs8C5+MkiPGqurfM1MNs3G4oIAEnaVW37DCqOgmYBJCammq/OeaggqIS7v7P9/xn6VYuGdiRh8/ubZsN1QPJvnjyCkvYnpVHu+ZxR36BOSpHShTjgG5AJvA98DSwQUSmAr2BP1aSJGKAt4B7VHWTiJwGnCIitwD9ROQFYC5ON9ICoC+wGqeVUp0yY44oO7+Im6cs4cu1mdx5enduO6Wr3SNRT5ROkU3LyLFEEQRHShRNAQWG4lywo4DvgG+BXwI/VvK664DjgftE5D7gX6r6JoCIzFbV60WkKfCliLQDxuB0a2k1y4yp0s6sPK5+6RtW79jP4xccx69TO4Y6JBNAKe5CjRsysxnWLSnE0dR/R2qDfwZswBlQXg2ci/OpfjTwOHBvRS9S1Qmq2kJVR7hfb5Z5boT7bxbOgPYCYKSq7qtuWe2qahqKdTv3c+74eWzclcPkq1ItSdRDrZrE0jgm0pbyCJIjtShGAlnAc0APnHGKocACVX1NRKaJSISqltTm5Kq6h0MzmmpUZkxFFm/czXWvLCY6MoI3xw6hT4dmoQ7JeODg/tl2011QVJkoVPVBEYnHmfVU7B5/v6rOExEf8M/aJgljAu3j5du4/Y1v6dA8jleuHUjHxMahDsl4yO9L4LvNe0MdRoNwxOkfqpqjqj+p6g5V3aqq89ynngDO8DY8Y6rn5a83cPPUpfRu15S3bx5qSaIBSE6KZ8ueXPKLbP9sr9VqUUARuR3nvoobAhuOMTWTV1jMwx+sYOrCdEb1as0zF/cnLiYy1GGZIPAnxVOisHl3Ll1bNQl1OPVajRKFiCQBfwMSgdGqWuBJVMZUw7qd2dz6+lJWbd/PjcP93DW6J5ERNv21oShdHHB9Ro4lCo9VmihEJAK4GueGtybAIKA9MFFV/xuU6IypxNtLtvDAu8uJi4nkpatPYGTPVqEOyQRZlzLLjRtvVdWiiAFSgCKcO6I7As2B9qVrQAUhPmMOk51fxJ/eXc5/lm1lsD+Rpy/qT5tmtq91Q9S0UTRJCbZ/djBUmihUNQ+4r2yZe5Pc7Tg3wJ2vqjs8js+Yg378aR+3vr6MTbtyuOO0btx2Sjframrg/L540jJtcUCv1WiMwr357RER+R/OgoGnqKrNTzOeUlVenb+JRz9cSYv4aF6/YTCD/S1DHZYJA/6keD5baZ9XvVarWU/ufRSPA+OBSwMbkjGH7Mst5K53vuOTH3cwsoePJy7sS0tb+dW4kpPiycwuYN+BQprFRYc6nHqr1ntmq+obZXerMybQlmzaze3TvmXn/jzuP/MYrj0xmQjrajJl+A+u+ZRjm1B56KjWW1ZVW8nVBFxJiTJ+9jp+PXEBERHw9k1Duf4kvyUJ8zPJB2c+2TiFl2rdojDGCxn787lz+rd8uTaTM49ry2Pn9aFpI+tSMBXrVLp/ts188pQlChM2vlqbyR1vfsv+vEL+79w+XDKwo+0fYaoUExVBxxZxrLd7KTxlicKEXFFxCU99tobxs9eT4ktgyvUD6dmmaajDMnVEclK8tSg8ZonChNTWvQf4zbRlLN60h4tSO/Lgr3rROMZ+LU31JSclsCBtN6pqLVCP2F+kCZlZP27nD29/T1FxCc9c3I+z+7UPdUimDvL74jlQWMz2rDzaNrNtUb1gicIEXX5RMY99tIqX522kd/umPHfJ8QfX7TGmpvylM58ycixReMQShQmqDZk53Pr6Un78KYtrTuzC3WN6Ehtly4Kb2kt2V5FNy8xhaFfbP9sLniQKEWkGvAFEAjk4q9CWfXyRqhaIyGSgF/Chqj7ivrZaZabueXfZVu6b8QPRURE8f2Uqp/dqHeqQTD3Qpnsh0b8AABjDSURBVGkj4qIjbVtUDx3VDXdVuAx4UlVHAduBq8o9Hi0i5wGRqjoE8ItIt+qWeRSz8UhuQRF/eOs77njzW3q1a8pHt59kScIETOn+2XbTnXc8aVGo6vgyD33AK6q6oMzjnThrRE13y2YBw4D+1SxbW/Z8IjIWGAvQqVOnQFbFHKVV27O49fVlrM/I5rZTuvKbU7sRFenV5xPTUCX74vlx675Qh1FvefoXKyJDgBalSaLc43hgq3vobqB1DcoOo6qTVDVVVVN9Pp9X1TE1oKpMXbiJs5/7mr25hUy5bhC/G9XDkoTxREpSPJv3HKCgqCTUodRLng1mi0gi8CxwfkWPcXbOK52ikICTtKpbZsLYtn0HePiDFXz0w3ZO6pbEk7/uh6+JrfhqvJPsi6e4REnfnUvXVgmhDqfe8WowOwZ4C7hHVTeVf+wetgSnG2kB0BdYDWypZpkJQ3tzC5gwez0vz9uIKtw1ugc3DU+xxfyM55KTDq0ia4ki8LxqUVwHHA/cJyL3AV+UezwBeBdnp7x2wBhgMKDVLDNhJK+wmJe+3siE2evYn1/Euf3b89vTutMxsXGoQzMNROkqsmkZ2VTQO22OkleD2RNwkkFZfyl/nIiMAE4HHlfVfTUpM6FXVFzC20u28PRna9melccpPVvxhzN6cExbW6fJBFezuGiSEmLYYIsDeiKkN9yp6h4OzWiqUZkJHVXlkx938PdPVrE+I4f+nZrzzMX9GGTbk5oQSk6KJ80ShSfszmxTIwvSdvG3j1exLH0vKb54/n35AM44trUtxmZCzp+UwP9W7wx1GPWSJQpTLSu3ZfH4x6v4YnUGbZo24q/n9eGCAR1suqsJG8m+eDIW57M/r5AmttlVQFmiMFXavDuXpz5dw4xvt9IkNoq7x/Tk6qFdaBRt6zOZ8HJoW9Qcjutg+2cHkiUKU6Fd2fk898U6pi5IRwTGDvcz7uSuNGtsn9RMePJbovCMJQpzmJz8IiZ/tYFJc9PILSjiwgEdueP0brZ8swl7nVo2JkJgvS0OGHCWKAwAhcUlvLEonWc+X0dmdj6jerXmrtE96NqqSahDM6ZaYqMi6dCisU2R9YAligaupET58IdtPDFrNZt25TKwSyITrxjAgM4tQh2aMTVmq8h6wxJFA/bV2kz++vFKlm/NomebJrx4dSoje7Syqa6mzvL74lm80fbPDjRLFA3QD1v28bePV/HVukzaN4/jHxf25Zz+7Ym0NZlMHedPiienoJid+/Np3bRRqMOpNyxRNCAbM3N4YtZqPvh+Gy0aR3P/mcdw+eDONtXV1BuliwOmZeRYogggSxQNwJ6cAp7+bA1TF6YTHRnBbad05YbhfpraTUmmnvEf3D87myEpoV1SRlXrTcvGEkU9VlhcwpQFm3j6s7Xszyvk4oGduOPUbrSqB7+4xlSkTdNGNIqOYEMYTJF95MOVvDp/Ix/fMZwUX91e+twSRT01Z00GD3+wgnU7szmxa0v+9Mtj6dHGprqa+i0iQujSMj7kU2RX/JTFS19voERh4pz1PH5B35DGc7QsUdQzaRnZPPrhSj5ftZPOLRsz6YoBnN7LFu0zDUeKL4EV27JCdv6SEuWB95bTvHEMJ3f3MWPZVn57evc6fdOqrehWT+w7UMgjH6zgjKfnsnDDbu4Z05NZvx3OqGPbWJIwDUpyUjzpu3MpLA7N/tlvL93Ckk17uHt0T343qjslCs/P3RCSWALFWhR1XHGJ8uY3m/nHrNXszi3g1wM68rszutOqiY1DmIYpOcnZP3vz7lz8QR4b2JdbyF9nruL4Ts25YEAHIiKEs/u2Y9qidG49pSuJ8TFBjSdQrEVRhy1I28Uvn/2Ke2f8gN8Xz/u3DuNvFxxnScI0aAdnPoVgQPvvs1axN7eAh8/pfXCv+JtGpHCgsJiX520MejyB4kmiEJFmIjJTRGaJyAwRiRGRySIyX0TuL3Ncrcsass27cxk3dQkXT1pA1oFCnru0P9NvHELv9s1CHZoxIVd2ufFg+n7LXqYuTOfKIV04tt2hv8XurZtweq/WvDJvI9n5RUGNKVC8alFcBjypqqOA7cDFQKSqDgH8ItJNRM6rbZlHMYe9nPwi/v7JKk59cg5frMrgztO78/nvTuaXx7WzcQhjXM0bx5AYHxPUbVGLS5QH3l1Oy/hY7hzV/WfPjxuRwr4DhbyxKD1oMQWSJ2MUqjq+zEMfcDnwtPt4FjAM6M+hfbBrWrbWi7jDVUmJMmPZVv728Sp27s/nnH7t+OOYnnV6FoUxXvInxZOWEbzFAd/4Jp3vtuzjqYv6Vngja/9OLRjib8nzX6ZxxZDOxEbVrdUQPB2jEJEhQAtgM7DVLd4NtAbij6Ks/HnGishiEVmckZHhQU1CZ2n6Hs6dMI/fvfUdbZs14p2bh/L0xf0tSRhTBWcV2eC0KHbnFPD4x6sZlJzIOf3aV3rcuJEp7MjKZ8bSrZUeE648SxQikgg8C1wLZAOlV7YE97xHU3YYVZ2kqqmqmurz+QJfmRDYtu8Ad7yxjPPGz2Pb3gP848K+zBh3oi3/bUw1JPvi2bk/PyhjAn+buYqc/CIePqd3lV3Aw7om0ad9MybOTaO4RD2PK5C8GsyOAd4C7lHVTcASnC4jgL7AxqMsq7fyCov55+drOeWJOXy0fDu3jEzhi9+P4Hx3qp0x5sj87uKAXi/lsWTTHt5cvJlrhyXTvXXVKx+ICONGpLAhM4eZy7d5GlegeXUfxXXA8cB9InIf8BJwhYi0A8YAgwEFvqxlWb2j6mwg9NhHq9i69wBjerfh3l8cQ8fExqEOzZg6p+zigH06eDMbsKi4hAfeXU7rprHcfmr15ticcWwb/L54xn+xnjP7tK0zk1A8aVGo6gRVbaGqI9yvV4ARwAJgpKruU9Ws2pZ5EXMoLd+6j4smLuDW15fRNC6aaTcMZsLlAyxJGFNLnRIbI+LtFNkpCzaxYlsWD/yyFwmx1fvMHREh3DQ8hRXbspizpu6MpwbtzmxV3cOh2UtHXVYfZOzP54lPVjN9yWYSG8fwf+f24aITOtoGQsYcpUbRkXRoEedZosjYn88/Zq1hWNckzuzTtkavPad/e576bA3jZ69nRI9WnsQXaLaERwiUlChTFm7i8Y9Xk1dYzPXDkrnt1G62P4QxAZSclODZ3dmPfbSSvKJi/nL2sTXuPoqJiuD6k/w8/MEKlmzazYDOiZ7EGEi2hEeQbd6dy+WTF/Kn936kf6fmzPrtcO47s5clCWMCzO9OkVUN7AyjhWm7+M+yrYwd7q/1PhOXDOxIi8bRTJi9PqCxecVaFEGiqkxbtJlHP1yBiPDX85xuproymGVMXeP3xZOdX0RGdn7A1j8rLC7hgfeW0755HLeM7Frr92kcE8XVQ5N56rM1rN6+P+z3irEWRRD8tPcAV764iHtn/EC/Ts35+I6TuHhgJ0sSxniodM2nQHY/vTJvI2t2ZPOns3rROOboPmdfNbQz8TGRTJi9LkDReccShYdUlemLN3PGU3NZsmkPD5/TmynXDaJDC5vNZIzXAr044PZ9eTz16RpG9vAxqtfPFoioseaNY7h0UCfe/34bm3fnBiBC71ii8MiOrDyuffkb7nr7e3q1a8rHvxnOFYM7WyvCmCBp1yyO2KiIgCWKRz5cQWGJ8udf1XwAuzLXn+QnUoSJc8N7rMISRYCpKjOWbeH0J+cwP20XD57Vi2k3DKZTS2tFGBNMERFCcoAWB/x6XSYffL+Nm09OoXPL+ABE52jdtBHnD2jP9MVb2Lk/L2DvG2iWKAJo5/48xr62hN+++R3dWzdh5m+Gc82Jybb0hjEhkpwUf9TLjecXFfPAe8vplNiYm0ekBCiyQ8YOT6GouIQXv9oY8PcOFEsUAaCq/Pe7nxj11FzmrMng/jOP4c0bhxzsIzXGhIbfF0/6rlyKjmL/7MlfbSAtI4e//OpYGkUHfnnw5KR4xvRpy5QFm9h3oDDg7x8IliiO0q7sfG55fSm3T1tG55bxfHT7SU6/o7UijAm55KQEikqUzXsO1Or1W/ce4NnP1zGqV2tG9vTuLuqbT04hO7+IKQs2eXaOo2GJ4ijM/GEbo56ay2crdvLH0T1556YhdG0V3M3cjTGVOzTzqXbjFA+9/yOK8qezegUyrJ/p3b4ZJ3f38eJXG8grLPb0XLVhiaIW9uQUcPu0Zdw8dSntmsfxwe3DuHlEClGR9uM0Jpz4j+Jeii9W7+STH3dw2yndgjKlfdyIFHblFDB98WbPz1VTdmd2DX26Ygf3/OcH9h0o4Hend+emESlEW4IwJiy1iI+hRePoGg9o5xUW8+f//og/KZ7rT0r2KLrDDUxOZEDnFkyck8YlAzuF1XUlfCIJc/tyC7nzzW+54dXF+JrE8t4tw7jt1G5h9Z9pjPm55KT4Gm9gNHFOGpt25fLQ2b2Dtr916cZGW/ce4P3vfgrKOavLWhTV8MXqndz9zvdkZhdw+6nduHVkV2KiLEEYUxckJyXw9brMah+fviuX8bPXceZxbRnWLcnDyH7ulJ6t6NmmCRNmr+ecfu3DZmq9Xe2qkJVXyB/f/p5rXvqG5nExvHfLidx5endLEsbUIX5fPNuz8sipxv7Zqsqf3/+RyAjh/jOPCUJ0hxMRbh6Rwtqd2Xy2ckfQz18Zu+JV4su1GYx+ai5vLdnMuBEp/Pe2E+nd3pstFY0x3vHXYM2nT1fs4H+rdnLHad1o2yzO69AqdGaftnRMjGP87PUBXyK9tixRlJOdX8S9M37gismLiIuJ5D/jTuSu0T2D1k9pjAmsZF/1EsWBgmL+8v4KurdO4JoTgzOAXZGoyAjGDk/h2817mZ+2K2RxlOVZohCR1iLypft9CxH5SEQWi8jEMsdMFpH5InJ/Tcu8MG99JqOfnsu0RemMHe7nw9tPol/H5l6e0hjjsS4t4xE58hTZf32xjq17D/DQ2b1DPknlwgEdSEqIDZuNjTz5aYhIC+AVoHQNiyuAqaqaCjQRkVQROQ+IVNUhgF9EulW3zIuYl2/dx6XPLyQ6MoK3bxrCvb84xpPb9Y0xwdUoOpJ2zeKqvOkuLSObSXPTOLd/ewb7WwYxuoo1io7kumHJfLk2kx+27At1OJ61KIqBi4As9/EuoLeINAc6ApuBEcB09/lZwLAalAVc7/bN+PsFx/HR7SfViT1sjTHV5/fFV9r1pKo8+N8fiY2K4J5f9AxyZJW7fHAnmjSKYsKc0G9s5EmiUNUsVS2bBr8COgO3AyuB3Titja3u87uB1jUoO4yIjHW7tRZnZGTUOu4LUzsSF2OtCGPqG39SPGkZFe+f/dEP2/lybSZ3juoesC1TA6FJo2iuHNKZmcu3sz4AS6UfjWB1xD0I3KSqDwGrgGuAbKB0WkGCG0t1yw6jqpNUNVVVU30+n2eVMMbUTclJ8ezPLyIzu+Cw8uz8Ih7+YAW92jblisGdQxRd5a45MZmYyAgmzgntWEWwEkULoI+IRAKDAAWWcKgbqS+wsQZlxhhTbck+Z7HO8t1Pz36+lu1ZeTx8zrFhuVZbUkIsF5/QkRnLtrJtX+1WwA2EYN2Z/RjwEk7303xgGk6S+lJE2gFjgME4CaQ6ZcYYU23+MqvIDkx2xiDX7NjP5K82cOGADmE9LnnDcD9TFqbz/NwNnq9iWxlPU6iqjnD/XaSqx6pqgqqerqrZqpqFM1C9ABipqvuqW+ZlzMaY+qdd8zhioiIOTpFVVR54dznxsVHcPSZ8BrAr0qFFY87u245pi9LZnVNw5Bd4IKRtLVXdo6rTVXV7TcuMMaa6IiOELi0bH1xF9r1vf2Lhht384YwetEyIDXF0R3bTiBQOFBbz8ryNITl/+HXKGWOMB/xJCWzIzCErr5BHPlzJcR2accnATqEOq1q6t27C6b1a88q8jWRXY82qQLNEYYxpEJJ98WzalcMTn6xmV04+D5/du05tWTxuRAr7DhTyxqL0oJ/bEoUxpkFIToqnsFh5df4mLhnYib51bHme/p1aMMTfkue/TCO/KLjbpVqiMMY0CCnu4oCJ8THcdUaPEEdTO+NGprAjK58ZS7ce+eAAskRhjGkQurduQpumjXjwrF40bxwT6nBqZVjXJPq0b8bEuWkUlwRvCXJLFMaYBqFJo2gW3HsqZ/drH+pQaq10u9QNmTnMXL4taOe1RGGMMXXIGce2we+LZ/wXwdvYyBKFMcbUIRERwk3DU1ixLYs5a2q/CGqNzhmUsxhjjAmYc/q3p22zRowP0sZGliiMMaaOiYmK4PqT/CzasJslm3Z7fj5LFMYYUwddMrAjLRpHB2W7VEsUxhhTBzWOieLqocl8tnInq7fv9/RcliiMMaaOumpoZ+JjIpkw29vtUi1RGGNMHdW8cQyXDurE+99vY/PuXM/OY4nCGGPqsOtP8hMpwsS53o1VWKIwxpg6rHXTRpw/oD3TF29h5/48T85hicIYY+q4scNTKCou4cWvNnry/pYojDGmjktOiucXfdqyM6uOtShEpLWIfFmubLyInFXm8WQRmS8i99e0zBhjzCFPX9SPJy/q58l7e5IoRKQF8AoQX6bsJKCNqr7vPj4PiFTVIYBfRLpVt8yLmI0xpi6LivSug8irdy4GLgKyAEQkGnge2CgiZ7vHjACmu9/PAobVoOwwIjJWRBaLyOKMjOAskmWMMQ2FJ4lCVbNUdV+ZoiuBFcDjwEARuQ2ntVG6TdNuoHUNysqfb5Kqpqpqqs/nC3R1jDGmQQvWYHZ/YJKqbgemACOBbCDOfT7BjaW6ZcYYY4IkWBfddYDf/T4V2AQs4VA3Ul9gYw3KjDHGBElUkM4zGXhRRC4GooELgP3AlyLSDhgDDAa0mmXGGGOCRIK1lV6FJ3dmR50OzHW7papdVpnU1FRdvHixt4EbY0w9IyJLVDW1oueC1aKokKru4dCMphqVGWOMCY6Qtii8ICIZOGMgdUESkBnqIDxUn+tndau76nP9jqZunVW1wmmj9S5R1CUisriypl59UJ/rZ3Wru+pz/byqm001NcYYUyVLFMYYY6pkiSK0JoU6AI/V5/pZ3equ+lw/T+pmYxTGGGOqZC0KY4wxVbJEYYwxpkqWKDwiIs1EZKaIzBKRGSISU8mmTIdt8FTR60JTg8rVtm7lypcFN+rqCUDdDtucK9wcxe9lCxH5yF3Of2Jooq9adepW2d9XuG+OVtu6Bep6YonCO5cBT6rqKGA7cDE/35TpZxs8VfC60UGOuzpqW7dST3BoReBwU+u6ld+cK0zVtn5XAFPdOfpNRCQc70M4Yt0qOGZ0HdkcrVZ1q6SsxixReERVx6vqp+5DH3A5P9+A6bANnip53c7gRFx9ta0bgIicAuTg/NKGndrWrZLNucLOUfzf7QJ6i0hzoCOwOTgRV1916lbJ39eI8scFJ+Lqq23dAnU9sUThMREZArTA+cM6bAOmCjZ4+tnrVHVBcCKtuZrWzW32PgDcHdRAa6EW/28Vbc4VtmpRv6+AzsDtwEr32LBUVd3KH+P+fR1xc7RwUYu6VVpWE5YoPCQiicCzwLXUYAOmcq8LS7Ws293AeFXd632EtVfLulW0OVdYqmX9HgRuUtWHgFXANV7HWRvVqVsFf191YnO0WtYtINeTsPyB1Afup+e3gHtUtbKNmqrzurBT27oBpwG3iMhsoJ+IvOBxqDV2FHWraHOusHMU9WsB9BGRSGAQzj4xYaU6davk7yvsN0erbd0Cdj1RVfvy4Au4GdgDzHa/rgK+A57Eabo3K3Ps7Cped1Go6xKoupV7jwrLQ/11FP9vTdw/yLnAfKB9qOsS4PoNBH7E+ST7KZAQ6rrUpm4V/X0BTSv7GYTL11HULSDXE7szO4ikBhsw1TVWt7qrPtevunWriz+DYMZsicIYY0yVbIzCGGNMlSxRGGOMqZIlCmOCTERaisgl7vfRIiKhjsmYqtgYhTFBICK/AfJV9d8iEgusAc4C7sG5WarEPXQA0EUruRHTmFCICnUAxtQXInIy8DqwFuipqm3KPF0EFLr3ISQCdwLbVfWScu8xGygITsTGVI8lCmMCpwiYoaq3isg3InIt0Nst74vTaigCxqrqiSLyiZs4SpUu2GbNfBNWLFEYEzjFwLki0htopaovikhHVd0sIjcBecCbHFr+IkpVTwWnJaGqRTZcYcKRDWYbEzjFOC2KEcA2EYkD3heRZpUc31NEPhORz3BaHMaEJWtRGBM4ZT94iaoeEJF/4az9VJGVqnoaHBybMCYsWaIwJnCiONT11B5AVZ8HqGQznH5uawKgr4jY36MJS/aLaUzgRHJoMPvBcs+VDj5ElH6vqknl38Bd7bOkfLkxoWSJwpjAWQysBlDVv5QWisiFOBv+XI+zd0BsRS8Wkak4A9w2PdaEFbvhzhiPuYPaJaqaf4Tjmqjq/iCFZUy1WaIwxhhTJZsea4wxpkqWKIwxxlTJEoUxxpgqWaIwxhhTJUsUxhhjqvT/yYjqAWnV1m4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -2.07918577405805\n",
      "p-value: 0.2529660436404816\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                     SARIMAX Results                                      \n",
      "==========================================================================================\n",
      "Dep. Variable:                               留宿旅客   No. Observations:                   12\n",
      "Model:             SARIMAX(1, 1, 1)x(1, 1, 1, 12)   Log Likelihood                   0.000\n",
      "Date:                            Wed, 06 Nov 2024   AIC                             10.000\n",
      "Time:                                    01:56:33   BIC                                nan\n",
      "Sample:                                         0   HQIC                               nan\n",
      "                                             - 12                                         \n",
      "Covariance Type:                              opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "ar.L1               0         -0        nan        nan           0           0\n",
      "ma.L1               0         -0        nan        nan           0           0\n",
      "ar.S.L12            0         -0        nan        nan           0           0\n",
      "ma.S.L12            0         -0        nan        nan           0           0\n",
      "sigma2         1.0000         -0       -inf      0.000       1.000       1.000\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                         nan   Jarque-Bera (JB):                  nan\n",
      "Prob(Q):                               nan   Prob(JB):                          nan\n",
      "Heteroskedasticity (H):                nan   Skew:                              nan\n",
      "Prob(H) (two-sided):                   nan   Kurtosis:                          nan\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "[2] Covariance matrix is singular or near-singular, with condition number    inf. Standard errors may be unstable.\n",
      "12    25276.34912\n",
      "13    26677.22492\n",
      "14    27875.76862\n",
      "15    28993.16002\n",
      "16    30529.27532\n",
      "17    32375.60782\n",
      "18    34550.74992\n",
      "19    36502.80992\n",
      "20    38303.41992\n",
      "21    24396.86992\n",
      "dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df=x3\n",
    "#绘制时间序列图\n",
    "plt.plot(df)\n",
    "plt.title(\"粤港澳留宿旅客变化\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"人数\")\n",
    "plt.show()\n",
    "\n",
    "#一阶差分\n",
    "skirtsdiff=df.diff().dropna()\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(skirtsdiff)\n",
    "plt.title(\"粤港澳留宿旅客变化(差分后)\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"人数\")\n",
    "plt.axhline(y=0,color='r')\n",
    "plt.show()\n",
    "\n",
    "# 平稳性检验\n",
    "adf_result = adfuller(skirtsdiff)\n",
    "print(f'ADF Statistic: {adf_result[0]}')\n",
    "print(f'p-value: {adf_result[1]}')\n",
    "\n",
    "#计算样本大小和设置滞后阶数\n",
    "sample_size = len(skirtsdiff)\n",
    "max_lags = sample_size // 2 - 1  #设置最大滞后阶数为小于样本大小一半的值\n",
    "\n",
    "#ACF和PACF图\n",
    "plt.figure(figsize=(12,6))\n",
    "\n",
    "plt.subplot(121)\n",
    "plot_acf(skirtsdiff,lags=max_lags,ax=plt.gca())\n",
    "\n",
    "plt.subplot(122)\n",
    "plot_pacf(skirtsdiff,lags=max_lags,ax=plt.gca())\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# 使用SARIMA 模型\n",
    "seasonal_order = (1,1,1,12)\n",
    "model = SARIMAX(df,order=(1,1,1),seasonal_order=seasonal_order)\n",
    "skirtsarima_fit = model.fit(disp=False)\n",
    "print(skirtsarima_fit.summary())\n",
    "\n",
    "# 使用SARIMA模型生成未来预测值\n",
    "forecast_steps = 10\n",
    "skirtsarimaforecast_values = skirtsarima_fit.get_forecast(steps=forecast_steps)\n",
    "forecast_mean = skirtsarimaforecast_values.predicted_mean\n",
    "print(forecast_mean)\n",
    "y3=forecast_mean\n",
    "\n",
    "forecasted_time_series = np.concatenate([df,forecast_mean])\n",
    "start_year = 2011\n",
    "years = np.arange(start_year, start_year + len(forecasted_time_series))\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(years, forecasted_time_series,label=\"预测值\")\n",
    "plt.title(\"粤港澳留宿旅客未来趋势(差分后)\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"人数\")\n",
    "plt.xticks(np.arange(2011, 2033, 2))\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 第三产业产值（万亿元人民币）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -2.3004061084392045\n",
      "p-value: 0.17183702691578973\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                     SARIMAX Results                                      \n",
      "==========================================================================================\n",
      "Dep. Variable:                     第三产业产值（万亿元人民币）   No. Observations:                   12\n",
      "Model:             SARIMAX(1, 1, 1)x(1, 1, 1, 12)   Log Likelihood                   0.000\n",
      "Date:                            Wed, 06 Nov 2024   AIC                             10.000\n",
      "Time:                                    01:56:33   BIC                                nan\n",
      "Sample:                                         0   HQIC                               nan\n",
      "                                             - 12                                         \n",
      "Covariance Type:                              opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "ar.L1               0         -0        nan        nan           0           0\n",
      "ma.L1               0         -0        nan        nan           0           0\n",
      "ar.S.L12            0         -0        nan        nan           0           0\n",
      "ma.S.L12            0         -0        nan        nan           0           0\n",
      "sigma2         1.0000         -0       -inf      0.000       1.000       1.000\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                         nan   Jarque-Bera (JB):                  nan\n",
      "Prob(Q):                               nan   Prob(JB):                          nan\n",
      "Heteroskedasticity (H):                nan   Skew:                              nan\n",
      "Prob(H) (two-sided):                   nan   Kurtosis:                          nan\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "[2] Covariance matrix is singular or near-singular, with condition number    inf. Standard errors may be unstable.\n",
      "12     8.680001\n",
      "13     8.985001\n",
      "14     9.340001\n",
      "15     9.645001\n",
      "16     9.925001\n",
      "17    10.285001\n",
      "18    10.750001\n",
      "19    11.245001\n",
      "20    11.810001\n",
      "21    11.620001\n",
      "dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df=x4\n",
    "#绘制时间序列图\n",
    "plt.plot(df)\n",
    "plt.title(\"粤港澳第三产业产值变化\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"万亿元人民币\")\n",
    "plt.show()\n",
    "\n",
    "#一阶差分\n",
    "skirtsdiff=df.diff().dropna()\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(skirtsdiff)\n",
    "plt.title(\"粤港澳第三产业产值变化(差分后)\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"万亿元\")\n",
    "plt.axhline(y=0,color='r')\n",
    "plt.show()\n",
    "\n",
    "# 平稳性检验\n",
    "adf_result = adfuller(skirtsdiff)\n",
    "print(f'ADF Statistic: {adf_result[0]}')\n",
    "print(f'p-value: {adf_result[1]}')\n",
    "\n",
    "#计算样本大小和设置滞后阶数\n",
    "sample_size = len(skirtsdiff)\n",
    "max_lags = sample_size // 2 - 1  #设置最大滞后阶数为小于样本大小一半的值\n",
    "\n",
    "#ACF和PACF图\n",
    "plt.figure(figsize=(12,6))\n",
    "\n",
    "plt.subplot(121)\n",
    "plot_acf(skirtsdiff,lags=max_lags,ax=plt.gca())\n",
    "\n",
    "plt.subplot(122)\n",
    "plot_pacf(skirtsdiff,lags=max_lags,ax=plt.gca())\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# 使用SARIMA 模型\n",
    "seasonal_order = (1,1,1,12)\n",
    "model = SARIMAX(df,order=(1,1,1),seasonal_order=seasonal_order)\n",
    "skirtsarima_fit = model.fit(disp=False)\n",
    "print(skirtsarima_fit.summary())\n",
    "\n",
    "# 使用SARIMA模型生成未来预测值\n",
    "forecast_steps = 10\n",
    "skirtsarimaforecast_values = skirtsarima_fit.get_forecast(steps=forecast_steps)\n",
    "forecast_mean = skirtsarimaforecast_values.predicted_mean\n",
    "print(forecast_mean)\n",
    "y4=forecast_mean\n",
    "\n",
    "forecasted_time_series = np.concatenate([df,forecast_mean])\n",
    "start_year = 2011\n",
    "years = np.arange(start_year, start_year + len(forecasted_time_series))\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(years, forecasted_time_series,label=\"预测值\")\n",
    "plt.title(\"粤港澳第三产业产值未来趋势(差分后)\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"万亿元\")\n",
    "plt.xticks(np.arange(2011, 2033, 2))\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 本地生产总值(亿元)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -3.8279856826956395\n",
      "p-value: 0.002633618746635514\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                     SARIMAX Results                                      \n",
      "==========================================================================================\n",
      "Dep. Variable:                         本地生产总值(亿元)   No. Observations:                   12\n",
      "Model:             SARIMAX(1, 1, 1)x(1, 1, 1, 12)   Log Likelihood                   0.000\n",
      "Date:                            Wed, 06 Nov 2024   AIC                             10.000\n",
      "Time:                                    01:56:34   BIC                                nan\n",
      "Sample:                                         0   HQIC                               nan\n",
      "                                             - 12                                         \n",
      "Covariance Type:                              opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "ar.L1               0         -0        nan        nan           0           0\n",
      "ma.L1               0         -0        nan        nan           0           0\n",
      "ar.S.L12            0         -0        nan        nan           0           0\n",
      "ma.S.L12            0         -0        nan        nan           0           0\n",
      "sigma2         1.0000         -0       -inf      0.000       1.000       1.000\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                         nan   Jarque-Bera (JB):                  nan\n",
      "Prob(Q):                               nan   Prob(JB):                          nan\n",
      "Heteroskedasticity (H):                nan   Skew:                              nan\n",
      "Prob(H) (two-sided):                   nan   Kurtosis:                          nan\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "[2] Covariance matrix is singular or near-singular, with condition number    inf. Standard errors may be unstable.\n",
      "12    164474.262086\n",
      "13    169914.516886\n",
      "14    176979.361086\n",
      "15    182711.614086\n",
      "16    187971.412086\n",
      "17    194481.951686\n",
      "18    203189.594286\n",
      "19    210664.893886\n",
      "20    217516.596486\n",
      "21    216418.399250\n",
      "dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df=x5\n",
    "#绘制时间序列图\n",
    "plt.plot(df)\n",
    "plt.title(\"粤港澳本地生产总值变化\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"亿元\")\n",
    "plt.show()\n",
    "\n",
    "#一阶差分\n",
    "skirtsdiff=df.diff().dropna()\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(skirtsdiff)\n",
    "plt.title(\"粤港澳本地生产总值变化(差分后)\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"亿元\")\n",
    "plt.axhline(y=0,color='r')\n",
    "plt.show()\n",
    "\n",
    "# 平稳性检验\n",
    "adf_result = adfuller(skirtsdiff)\n",
    "print(f'ADF Statistic: {adf_result[0]}')\n",
    "print(f'p-value: {adf_result[1]}')\n",
    "\n",
    "#计算样本大小和设置滞后阶数\n",
    "sample_size = len(skirtsdiff)\n",
    "max_lags = sample_size // 2 - 1  #设置最大滞后阶数为小于样本大小一半的值\n",
    "\n",
    "#ACF和PACF图\n",
    "plt.figure(figsize=(12,6))\n",
    "\n",
    "plt.subplot(121)\n",
    "plot_acf(skirtsdiff,lags=max_lags,ax=plt.gca())\n",
    "\n",
    "plt.subplot(122)\n",
    "plot_pacf(skirtsdiff,lags=max_lags,ax=plt.gca())\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# 使用SARIMA 模型\n",
    "seasonal_order = (1,1,1,12)\n",
    "model = SARIMAX(df,order=(1,1,1),seasonal_order=seasonal_order)\n",
    "skirtsarima_fit = model.fit(disp=False)\n",
    "print(skirtsarima_fit.summary())\n",
    "\n",
    "# 使用SARIMA模型生成未来预测值\n",
    "forecast_steps = 10\n",
    "skirtsarimaforecast_values = skirtsarima_fit.get_forecast(steps=forecast_steps)\n",
    "forecast_mean = skirtsarimaforecast_values.predicted_mean\n",
    "print(forecast_mean)\n",
    "y5=forecast_mean\n",
    "\n",
    "forecasted_time_series = np.concatenate([df,forecast_mean])\n",
    "start_year = 2011\n",
    "years = np.arange(start_year, start_year + len(forecasted_time_series))\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(years, forecasted_time_series,label=\"预测值\")\n",
    "plt.title(\"粤港澳本地生产总值未来趋势(差分后)\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"亿元\")\n",
    "plt.xticks(np.arange(2011, 2033, 2))\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 高等学校在校生数(人)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF Statistic: -2.4560554460196253\n",
      "p-value: 0.12653579446486335\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                     SARIMAX Results                                      \n",
      "==========================================================================================\n",
      "Dep. Variable:                        高等学校在校生数(人)   No. Observations:                   12\n",
      "Model:             SARIMAX(1, 1, 1)x(1, 1, 1, 12)   Log Likelihood                   0.000\n",
      "Date:                            Wed, 06 Nov 2024   AIC                             10.000\n",
      "Time:                                    01:56:34   BIC                                nan\n",
      "Sample:                                         0   HQIC                               nan\n",
      "                                             - 12                                         \n",
      "Covariance Type:                              opg                                         \n",
      "==============================================================================\n",
      "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "ar.L1               0         -0        nan        nan           0           0\n",
      "ma.L1               0         -0        nan        nan           0           0\n",
      "ar.S.L12            0         -0        nan        nan           0           0\n",
      "ma.S.L12            0         -0        nan        nan           0           0\n",
      "sigma2         1.0000         -0       -inf      0.000       1.000       1.000\n",
      "===================================================================================\n",
      "Ljung-Box (Q):                         nan   Jarque-Bera (JB):                  nan\n",
      "Prob(Q):                               nan   Prob(JB):                          nan\n",
      "Heteroskedasticity (H):                nan   Skew:                              nan\n",
      "Prob(H) (two-sided):                   nan   Kurtosis:                          nan\n",
      "===================================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
      "[2] Covariance matrix is singular or near-singular, with condition number    inf. Standard errors may be unstable.\n",
      "12    3.587615e+06\n",
      "13    3.671459e+06\n",
      "14    3.747593e+06\n",
      "15    3.825618e+06\n",
      "16    3.929321e+06\n",
      "17    3.971390e+06\n",
      "18    4.079387e+06\n",
      "19    4.117887e+06\n",
      "20    4.177910e+06\n",
      "21    4.343054e+06\n",
      "dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df=x6\n",
    "#绘制时间序列图\n",
    "plt.plot(df)\n",
    "plt.title(\"粤港澳高等学校在校生数变化\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"人\")\n",
    "plt.show()\n",
    "\n",
    "#一阶差分\n",
    "skirtsdiff=df.diff().dropna()\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(skirtsdiff)\n",
    "plt.title(\"粤港澳高等学校在校生数变化(差分后)\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"人\")\n",
    "plt.axhline(y=0,color='r')\n",
    "plt.show()\n",
    "\n",
    "# 平稳性检验\n",
    "adf_result = adfuller(skirtsdiff)\n",
    "print(f'ADF Statistic: {adf_result[0]}')\n",
    "print(f'p-value: {adf_result[1]}')\n",
    "\n",
    "#计算样本大小和设置滞后阶数\n",
    "sample_size = len(skirtsdiff)\n",
    "max_lags = sample_size // 2 - 1  #设置最大滞后阶数为小于样本大小一半的值\n",
    "\n",
    "#ACF和PACF图\n",
    "plt.figure(figsize=(12,6))\n",
    "\n",
    "plt.subplot(121)\n",
    "plot_acf(skirtsdiff,lags=max_lags,ax=plt.gca())\n",
    "\n",
    "plt.subplot(122)\n",
    "plot_pacf(skirtsdiff,lags=max_lags,ax=plt.gca())\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# 使用SARIMA 模型\n",
    "seasonal_order = (1,1,1,12)\n",
    "model = SARIMAX(df,order=(1,1,1),seasonal_order=seasonal_order)\n",
    "skirtsarima_fit = model.fit(disp=False)\n",
    "print(skirtsarima_fit.summary())\n",
    "\n",
    "# 使用SARIMA模型生成未来预测值\n",
    "forecast_steps = 10\n",
    "skirtsarimaforecast_values = skirtsarima_fit.get_forecast(steps=forecast_steps)\n",
    "forecast_mean = skirtsarimaforecast_values.predicted_mean\n",
    "print(forecast_mean)\n",
    "y6=forecast_mean\n",
    "y6=y6.astype('float32')\n",
    "\n",
    "forecasted_time_series = np.concatenate([df,forecast_mean])\n",
    "start_year = 2011\n",
    "years = np.arange(start_year, start_year + len(forecasted_time_series))\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(years, forecasted_time_series,label=\"预测值\")\n",
    "plt.title(\"粤港澳高等学校在校生数未来趋势(差分后)\")\n",
    "plt.xlabel(\"时间\")\n",
    "plt.ylabel(\"人\")\n",
    "plt.xticks(np.arange(2011, 2033, 2))\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%matplotlib auto\n",
    "# x 轴数据\n",
    "x = np.arange(2023, 2033)\n",
    "\n",
    "# 共享每一列子图之间的 x 轴\n",
    "fig, ax_arr = plt.subplots(2, 3, sharex='col', figsize=(12, 8))\n",
    "\n",
    "ax1 = ax_arr[0, 0]\n",
    "ax1.plot(x, y1, color='b', linewidth=2)\n",
    "ax1.scatter(x, y1, color='r', zorder=3, s=10)  \n",
    "ax1.set_title('人均本地生产总值（亿元）')\n",
    "ax1.set_ylabel('GDP')\n",
    "\n",
    "ax2 = ax_arr[0, 1]\n",
    "ax2.plot(x, y2, color='g')\n",
    "ax2.scatter(x, y2, color='purple', zorder=3, s=10)\n",
    "ax2.set_title('工业增加值占 GDP 比重')\n",
    "ax2.set_ylabel('百分比')\n",
    "\n",
    "ax3 = ax_arr[0, 2]\n",
    "ax3.plot(x, y3, color='orange')\n",
    "ax3.scatter(x, y3, color='brown', zorder=3, s=10)\n",
    "ax3.set_title('留宿旅客')\n",
    "ax3.set_ylabel('人数')\n",
    "\n",
    "ax4 = ax_arr[1, 0]\n",
    "ax4.plot(x, y4, color='cyan')\n",
    "ax4.scatter(x, y4, color='magenta', zorder=3, s=10)\n",
    "ax4.set_title('第三产业产值(万亿元)')\n",
    "ax4.set_ylabel('产值')\n",
    "\n",
    "ax5 = ax_arr[1, 1]\n",
    "ax5.plot(x, y5, color='gray')\n",
    "ax5.scatter(x, y5, color='olive', zorder=3, s=10)\n",
    "ax5.set_title('本地生产总值(亿元)')\n",
    "ax5.set_ylabel('生产总值')\n",
    "\n",
    "ax6 = ax_arr[1, 2]\n",
    "ax6.plot(x, y6, color='pink')\n",
    "ax6.scatter(x, y6, color='teal', zorder=3, s=10)\n",
    "ax6.set_title('高等学校在校生数')\n",
    "ax6.set_ylabel('人数')\n",
    "\n",
    "fig.text(0.5, 0.04, '年份', ha='center')\n",
    "\n",
    "plt.subplots_adjust(wspace=0.4, hspace=0.5)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cSrrRsF/+STDrzf4jcHVE3JK370clnQU8pjQN1w2kaXCOiWx6vCyRHxMR87Ie3B1JNx9C+oO9AfhTlrSNlHQe0CXvRkckXRsRr2W9w4OBw3J36Ss9FOGTEfHbbLkT6QalS7NLSIVT9a1Gqp3OL9v2LKBwfti6tu1BGhd+Otk82RHxLrWJwN2ku/N/ImmDXCJLOpFVZf9OLhhK8hipYdGpriEw2fcsV5pV4DZJp0TE03kfV2T7HgRMzB/Png0L+hmpcZX7Ga4CZkdELgGvATbNfh8iJfFnAg9K2o30t3BcffFZ25ddcj2X1Xt1188+y/WuitR4vBL4JawaAlbffruSTpoHA3uS6s4TkaatPJXU0M4lfYVXei4jNVS7Kj3UpCdpSMOekuaR/vYLhzWsbX37tNK9FMWsMcSlUES8JOlbpCs6H1J7LwakenQ6qaf4kKweN7TLYrYhzfAzETglIiZIulxS34iYlR1rbyYN+VgcES+Rkglg1ZW7eZE33Z5ZKyPS3++obHk9Uv3LLX+CNJlBfvncq84ea6Updf+LdG4+itorXutLuoV0T9IYpckLroyI6cD3JW0AzIyIwasFmR4gdWoUTL9na6/NJNZFbAsMzf4YNiBdhvwUKWmepXQT4I+pna6qL2n88zkFl2MBiIg7JL1GGhN9bf7NNNnni6m9dHob6cbHn2affZztO19n0kkwfx8vZ/8+RJqOK98fgL+q9kEoAbwA/I3USn1M0lIKWr+ScpVOpPGQu5F6jqZFRGOHRHQC/i9Lyl8mzXebu2mpOzArS7RPLtiuC+kGr+HAyoKWNcBdpOThpvq+PCKmZz9HVcFHuVk9HgW+pjQ1YU4P0lR8c7JGz3jSeNWT8so8TWrJP0/6vf2L7CYR0uWvIz2erP2LiN9RfOaZoiSdTuqpzSXiS0i9t7nPc8lqV2Bkdqy4Y/W9UAWMpLa+diVLsiUNJt3l/01SA/s60pWhLqTEfG+lcc3fKtjn2tS3LjQ8FKTBpzZGxK2koW/5/sHqveW5stdnP8fauJ00Fjv/hsOrgLHZsbAGuDDS9H2bkXrhPqL2/pbNSNPt5R8H1yMl6fmNdLNy6QK8WJjI5ig9vCz/4U5BuqpdSboCU9hjnRvmui2pt/pxUqfRT7KrS71J47DfkPQ5Un19h9pjWBVpaFfh8aMXqUfbmkkRjbpK0WooPXBgWDYMYH6kO2s/TxoPeDDpIS1XSjqJNBn7/+Ztq2hrP3ATZGMVuzViPHK7Iak68mZeMWvNJPXsSPXTzNYNSRtHxAd5y1WRN799dnW7W94QESuxtpxY9yDdLNiX1Pt4PKmldx3p4QqdgaMjm/fZzMzMzKwltbnE2sxal2y8+z8i4lOSriXd3X5/PTPWmJmZtUt+HryZNddlQDelpxVWRsQQYEA2C4uZlZGkTSRNzt5fK2mCpJF5nzd5nZmtqU3cvLjxxhtH//79yx2GWZNMmjTpg4ioLnccLUHp8dK5J98No/YmvgeBvYGXi2xzGmlWH3r06LH7dtttt05iNSu1NlK312j4Sroua/ju3NR1uZvx6+LztrVlzanbbSKx7t+/PxMnegYYa5skvVnuGFpCNt3ThcCXSHec9yDdfQ5pKsrdim0XEVeT5lJl8ODB4bptbVVrr9uNaPh+qhnr6m009+vXz+dta7OaU7c9FMTMmuo80vyouXnNF5KmN4Q0L7OPL2ZlktfwPS9bVdjw3aSZ69YQEVdHxOCIGFxd3do78s1aRpvosTazVukg4IDsASy7kh7//TbpoSGDgOlljM2so1vV8M0e3lOs4ducdWZWhBNrM2uSiNg39z578t8RwLjsQR6HkZ5GaGbl0ZiG7wzSsI6mrDOzIpxYm1mz5Z7wlz0J9WDg0oiYX982ZtZyGtnwjWasM7MifDnHOobRo+HMM9O/1mIiYm5E3BERs8odi7V/00dPZ8yZY5g+2h2o9YmIYRGxgHQD4xPA/hExvznr1v1PYR3JjLFjeerii5kxdmy5Q1lr7rG2tm35cvjgA3j/fZg9u/hr2rT0qqmBP/0JbrsNjjii3JGbdXjTR0/n1QdfZavPbsW2R2xLzYoali1cxrJFy1i2cBnLFy2vc3nm0zOZdvc0albUMOmqSex43I5svsfmVPWsSq/1qmrf5796VKEK1RlDexYRc6md3aPZ68xawhv338+ECy4gVqzgtb/+lb1+/nO2OOCAcofVaE6srXVbuhR++EN48EHYcEPo3n31pHnevNWKiwaeJLoY+OLqq/zwUbOmaSgpXbZoGQtnLuSjmR+xcOZCFs6qff/eM+8x65lZEPDU756iolMFNStq6vyuUaNGrb5ih+yVb272qmubTOcenanqWQWCRe8tgoApf5rCUbcd1e6Ta7NW5Vatsao/0P97eStmHQi35i0f37pP2k6srfVZuRIeeyz1LN92GyxeXHfZigrYaCOork6vf66zKM06tOdvf557Tr6HlUtXMunqSWx92NZUda9alTh/NPMjln20DChIcLsCW2avI+ve/7MDn12VAFf1qGLUA6PqLlyHkx46KfVwL1zGoFcHNVh+xOQRMLl2OX7Quk/gZtb6OLG21iECJk5En94DqAQOzF5/rH+7Goj385bXbPyaWTPph3VUrPOLrMsepDlmzhjW23Q9em7ak1FvjFrr79z5+J1XX/HAWu+CAQcNqF344dpvb2YtZ8Hrr7N+uYNoAU6srbymTUu90rfeCq+8Ag0N5TAzoGXHBkcEc1+by1vj3uLNcW+midrW0mG/Pqx2wUmtmWXmvPgiU6+5hrcefJDjLyh3NKXnxNrWvRkz4PbbUzI9Oe+6a9++6cG7Zu3ctHun8cqYV+i3Tz+2PHBLVi5budqrZnnNGutWLq99/85/3uHpPz5NzbIanr7mafa9cF+2+fw2dN2gK117d6XLel1Wu0GvmPzEfODhA3n/+fd5a9xbq5LphTMXAtC1d1f49rr4rZhZe/b+pEm8cM01zBw3js49e7LDKacA/1vusErOibW1vNGj06tLF3jhBXj88do7Bnv1gqOOguOPh2HD/Bdp7cLKZStZMGMB89+az/y356d/35rPgrcW8P4L77Pg7QUATLp6UoP7KnoDXh8gv6dnJXBv7eIPL/ohXXp1oesGXenWu9uqhLtr76503aArC2ctZOodU1m5bCUT/zCRyi6VrFi8AoD1t1if/sP602+ffnxyn09SvUM15/3oPMzM1lZEMPNf/+KFa65h9qRJdOndm0Hf/jYDjzuOqvXXh1udWJutnZ/9DEaMSDck5nTpAl/4QkqmDzsMunYtX3wAM2fCppuWNwZrU1644wWm3jWV3lv1pucmPZn/dkqacwn0wvcWrhrVtCox3ix7NeLRGi99+iUqO1dSWVXJqEdHrXV8+4zYh4/nfsySuUtYMm8JJ+xxwuoFtmb1xLyI+G8PyzKzpnn74Yd55Y47WPDmmyyaMYPuffuy+/nns9VRR9GpW7dyh9einFhbyajolefvZa88S4G70qtVTHX3pS+lWUjKneBbq7Vy+UrefepdXnvkNV748wvMfmH2ap937t6ZXv160atfL/rs3GfV+179ejFq3Ki1/r6Bhw2sXXh07ePd/6L9V1s+4Ycn1FHSzKx0oqaGyZddxrQbb0wneIltjj+eT51zDpVVVeUOb51wYm325JPwzW+mh8cUbx1YK7IuHugREcx+YTavPfIaQ+YNWf3DL2ev+rb/fl6LcVzJwzMzax0K5qEWsNsWsNtqV8RGwl0jaxdb+TzUzeXE2ppv+fJ0MyInlTuSpuneHW64AQYNgv9tf+O92pPpo6dz13F3seLjFUy+djKH//5wdjlxFyo6VTR73/Pfms9rj7zG6w+/zutjX2fhrHTzHqOavWszM+sgnFhb0y1Zknp5L70U3niDNptYX389HHMMnH027LADHHJIuSOyTNH5k/NGFo18cyT8ePWP75x6J937dKdHnx703KQnPfr0SK9N0r9VPat46W8vMX30dLpv1J0lC5bw+sOvM+eVOQD02KQHAw4cwJYHbcmAAwcw6k+jWu4HNDNro9576ik2KXcQrZAT69Zu9Oj0OO/PfhaOOKLc0SQffQRXXQWXXw6zsvnxttkGXipvWE325S/DhRfCj34Exx2XhoZss025o7ImmjVlFoveX8SSeUuKfl7ROXt0dnY1slPXTgw4aAB7nLEHAw4aQPWO1chDgszMivrgmWd49oormDVhAsePKHc0rY8T69Zm2bI0Jd3EiXDXXfDww1BTA9dck5LZk08uX2xz5sBvfpNec+emdbvuChdcAMOHt+2/plGj4Lnn4J57UgPmySfTVIDW5pw5/UwAVixdQedLOjd+w/nAXyB2at/j/8zMmmLuiy/yzBVX8O4//0mXDTdkt3PPBU4ud1itTltOhdq+FStg6lSYNAl9/WvZyirgU9nr1Nqyy4CvZa9MrFgJlZUtG+Po0SnZnDsXHnoIFi1K6/faK02jd+ih7eOGv4oKuOkmGDIEnn8+TQU4enTL/36txXTq4sObmVlzzX/1VZ773e9464EH6Lz++gz6znfY5vjj6dyjB9x6crnDa3V85mlJ+cM4Dj8cpk9PPdG515Qp8PHHWeGv1burojbZJCW2hx+exgVvuGHz4o2A995LPbfPPw/33w+PPpp6zHMOOST1UO+7b/O+qzXq2TP9n+2xB4wZkxoOl1xS7qjMzMzWmRljxzJz/Hg22GYbZk+ezJv33Udl167s9M1vst1Xv5oe7GJ1cmLdUkaPhmOPTTf4/f730LkzLF26ZrkBA2DwYLijCd/x4Ydwyy3pVVEBe+6ZkuzPfS7NcFFfT/JHH6UhJ889tyqR1qNjgb7Z62CKPmr0geyVaRXzUJfSllvCnXfCwQenh9vsvDOc4DmAzcys/Zsxdiz/PvtsVmb5SkXnzmz31a+y/Te+QdfevcscXdvgxLpE1sxhjwCy3uga0kNRCsSHc2p7mZuSWL/4YupVHjMmPSZ8/Pj0GjECNtssJdgbb5xm7Nh88/TEw1wi/cYbTfjCDmL//eHXv4Yzz4RTTkk3Mu6xR7mjMjMzK62Ceai3AI49u7DQM/D3c2oX2/k81M3lxLqcmjt0Y7vt0uu734UFC9KNjmPGpNe778If/1j3tlVVsP32sNNOqVd2553h8OaF065861vw7LNw9dVw5JFp6I4fe25mZmb1KHliLakXcDtQCSwCjo2IZQVlOgGvZS+AsyLiuVLHsk4sWZIeLsLp5Y1j/fXRUcOB4Y0rvwx4BmJKSwbVhklwxRXpqsC4cTBsGBxwABx2WOuZ9tDMzMxaleY/rmxNJwC/iIjPArOAQ4uU2QW4LSKGZa+2l1TPmwc//Sn0758eh23tT1VVmvJw443hpZfgD3+Ar3wljZ83MzNroz7+4AOe/P73yx1Gk9SsXFnuEOpV8h7riLgyb7EaeL9IsT2Bz0vaH3gOOD0iVuQXkHQacBpAv379Sh1m0737Lvzyl2lO6Y8+Sut23RXc89surDlWvg8wu3ZxMfDF1Uu0uxs4zcysXVq5bBnTb76Z5//wB1YuXcpntit3RGtv7tSpbLTzzuUOo04t0WMNgKQhQO+IeKLIx08BB0XEp4HOwOcKC0TE1RExOCIGV1dXt1SYjTd9erqRrX9/uOyylFQfcAA88AA8/XS5ozMzMzMrKiKYMXYs9x9xBFMuv5w+gwdz+L33ljusJpk5fny5Q6hXi9y8KGlD4ArgqDqKPBsRuXkyJgIDWyKOZhs9Oj00ZMaM9CS+iNSlefTRcO65ninCzMzMWrV5L7/M0z/7GbMmTKDXVlux/9VXs+lee6UPW3eOWtSsCRPY6fQy39dWj5a4ebEKuBM4PyLerKPYTZJ+DDwPHAn8pNRxNMsbb8BFF6WbEnMPR+nUCb7+dTj7bBjYOtsBZmZmZgBL583j2Suu4JU77qBzz57sfsEFDDzmGCo6dy53aM3yweTJLF+0KD35sRVqiR7rbwC7ASMkjQAeBTpHxMi8MhcBtwICRkfEwy0Qx1pZfWxtf+C67JVZAVydvTIeW2tmZmatydsPPcS0m25i7tSprFy2jIHHHcfOZ5xBlw02KHdoJVGzYgXvT5zI5vvtV+5QimqJmxd/D/y+gb9Z4KwAACAASURBVDLPk2YGKa9XXklP2bvrLmBSuaMxMzMza5KaFSt4+rLLeOnmm1PPX0UFu593Htu2s6cHV3btyszx4ztOYt3qTZ+eEuk774Rnnil3NGZmZmZrr+CpiRXA4H4w+IL8tSfCrSfWLraDpyb2GTyYWa34Bsb2nViPHg0PPpieTjhnTkqmn3++9vP1108P+zj66DTS28zMzMxarb5DhjD55z9n0cyZ9GiFT0Ruv4n1NdfAGWfA8uWrr+/VKz2i+uij4eCDoUuX8sRnZmZmtpZWfPwxr9x5J9u13wyuXpvutReTf/5zZk2YwFbDG/m06XWoXfy3rPlQD4BTs1eB+cANENe3aEhmZmZmJbN80SJe/vOfmXb99Sz58EO2G1HuiMqj19Zb0626mlnjxzuxNjMzM7PGW/bRR7x0661Mv/FGls6bR9+hQ9npm9+E6YPLHVpZSKLvkCG8O24cUVODKlrsWYdN4sTazMzMrJVZOm8e02++mem33MLyBQvYbL/92Omb32TjXbJJ1aaXN75y6jt0KK+PHs3cadPYcIcdyh3OapxYm1mTZU9Z3R2YHBEflDseM7O27rXRo5l+003Mf/VVapYuZYuDDmKn009vdQlkOfXdc08AZv77363u99K6+s/NrM2Q1Bu4D/g08KikaknXSpogaWQDm5tZC5O0oaSDJW1c7lisYXNeeIGxp5zCE+efz9ypU4nly9n9/PPZ99e/bnXJY7l1q65mg223bZXT7rnH2syaahfg/yLiiSzJPgCojIghkq6TNDAiXi5zjGYdUl7D937gF5IOAC4BdgDuj4iLs3LXNnWdNVPBPNQbAgccQDqSrnIS3HpS7WI7mIe6VDYdOpTpN9/MisWL6dS9e7nDWcU91mbWJBHxzyyp3pfUa30IcEf28YPA3sW2k3SapImSJs6ePXsdRWvW4eQavj8GHiCv4QsMkDRQ0vCmrivTz9RuzHvZfQ7N1XfoUGqWL+f9Sa3rydlOrM2sySQJOBaYCwTwTvbRHGCTYttExNURMTgiBldXV6+bQM06mEY2fIc1Y90a3Giu38qlS3n9vvt46KSTGHOkn0rXXNW77UZFVRUzW9lwECfWZtZkkZwBPAsMBbplH/XExxezsmpEw7dHM9atwY3m4ha8+SaTL7uMew44gAnf+x4ff/ABnzr77HKH1eZ16tq1VT7e3GOszaxJJH0PmBkRNwIbkMZv7g08AQyiQ08GZVZ+ERHAGZJ+BBwNXJN9lGv4LmTNxnBj11kRM8aOZeb48fT9zGeICF654w5mTZiAKivZ4oADGHjssWzymc+kuZdv/Xq5w23z+g4ZwpTLL2fx++/TvU+fcocDOLE2s6a7GrhD0inA88A9wOOSNgMOA/YsZ3BmHVkjG74zmrHOCswYO5Z/n302K5cu5eXbbgOge9++7HLWWQwYPrzVJH7tyaZDhzLl8suZNX48A1rJ8Bon1mbWJBExFzg4f52kYdm6SyNifjniMjOgcQ3fAMY1cZ0VzOqxBXDsGiM8pgJj4eH/Toue1aOkNthmG7putBEznVibWXuUJdt3NFjQzFpUYxu+zVnXUX38wQfMHDeOAeUOxFBFBX2HDGHWhAmt5vHmTqzNzMw6gGIN3+as6ygigrkvvsg7//wn7/7zn3z43HMADBhR5sAMSNPuvXHffcybPp3e229f7nCcWJuZmZlB7c2HfXbfncouXVIy/fjjfPz++yCx0S67sMtZZ7H5fvvBZD8NsTXoO2QIADMnTHBibWZmZtYavHr33Tx10UXULF++6ubDzj170nfoUDbfbz8222cfum60Ue0Gk8sUqK2me58+9Bo4kFnjx7PD18s/04oTazMzM+tYCm48BNgK2OrcYoX/A4t/BRv5xsPWatOhQ3nptttYsWQJnbp2LWss5R/lbWZmZrYORARzXnih3GFYifUdMoSaZcuY3Qoeb17yHmtJvYDbgUpgEXBsRCwrUu5aYAfg/oi4uNRxmJmZmdWsXMnsp5/m7YcfZsYjj7B45kyO942H7UqfwYOp6NyZmePHs+lee5U1lpYYCnIC8IuIeEjS74FDgdH5BSQNByojYoik6yQNjIiXWyAWMzMz6wByNx5uOnQom+61F7MmTODtRx7hnUcfZencuVRUVbHp0KHsfMYZ8PHwcodrJdSpWzeqd9utVTzevOSJdURcmbdYDbxfpNgwaqfteZD0RKfVEmtJpwGnAfTr16/UYZqZmVk7MWPsWP59zjmsXLKEV/78Z9SpEzXLltG5Z082228/PnHggWy699507tEjbXBreeO10tt06FCm/PKXfDx7Nt2qq8sWR4vdvChpCNA7Ip4o8nEP4J3s/Rxgt8ICEXE16clRDB482HcMmJmZWVLsqYffravwf+DDn0MPpxLtWd+hQ+GXv2TWE0+w5Re+ULY4WuTmRUkbAlcAdc17shDolr3v2VJxmJmZmVn713u77ejSuzczyzwcpOQJraQq4E7g/Ih4s45ik0jDPwAGAW+UOg4zMzNrP5Z99BGv3HknD514YrlDsVZo1ePNx48nonxXJ1piKMg3SEM7RkgaATwKdI6IkXll7gHGSdoMOAzYswXiMDMzszasZsUKZk2YwOv33suMsWNZuXQp6w8YUO6wrJXqO3Qob44Zw/yXX2aDbbYpSwwtcfPi74HfN1BmgaRhwMHApRExv9RxmJmZWds07+WXef3ee3njvvv4ePZsqnr1YsDw4Qz44hfZcKed4DaPILU1bZp7vPn48e0nsW6siJhL7cwgZmZm1oG9Nno0r951F4vff59Fb7+NOnVis332YcAXv8hm++1HZVVVuUO0Vq57376sP2AAs8aPZ/uTTy5LDH6kuZmZmZXVjLFjeXLECKKmBiQGHHUUu37723TdaKNyh2ZtzKZDh/LKnXeyculSKrt0Weff78TazMzM1q0i0+V95fz8NS/AAz9afZvjPV2eNazv0KFMv/lmZk+eTN891/0tfB6kZGZmZmbtQp/Bg1FFBZMvu4wZY8eu8+93Ym1mZmZm7cJ7Tz5JAHNffJF/n3POOk+uPRTEzMzMzNqmIsOKjs8fVjTrwDUfYd+Cw4rcY21mZmZmVgJOrM3MzMzMSsCJtZmZmZlZCTixNjMzMzMrASfWZmZmZmYl4MTazMzMzKwEnFib2SqSuhcsS9KhklTXNmZmZpY4sTYzACSdAlxZsLoPcAZw3bqPyMzMrG1xYm1mOdcBW0ganFsREe8BXwS2KltUZmZmbYQTazMDICJqgDOBHxR85OOEmZlZI/iR5maGpBeAj4AANpU0Pu/jbsA9ZQnMzMysDXFibWZExI6595LOiIjfZe//B7gpIuaWLTizDi67eXj3iJhY5LMtI+L1MoRlZkX4Eq+ZFTo57/1C4P/KFIeZ1bpX0i8knSlpDwBJuwO3ljkuM8tTb2ItqbukUyWdKKlyXQVlZmX1cd77G4DPSdq4XMGYdWSSFBEBvAJcBbwEHCbpaeC3wJfLGZ+Zra6hoSC3Af8BegNDSNNumVk7I+kZYHG22C1vjLWAvsBJwC/LEZtZB/d3SQuBXsDWwO7AYGA0sCNQDcwoX3hmlq+hxLp3RPwYQNI/G7tTSZsAd0XEPnV83gl4LXsBnBURzzV2/2ZWWhExqK7PJFVGxMp1GY+ZrXI08EnSjD0XATOBL0bESkn9geskHZj1aptZmTWUWPeUNIQ0ZGQ9SUNzH0TE+GIbSOpNunzco5797gLcFhHfW8t4zayFSdoJ6BERTwLUlVRL6gXcDlQCi4Bjgd8DOwD3R8TF6yZis3btW8BA4APgWeBXwOuSbgF2Ar5XLKlubP2UdG1T15nZmhq6efEZ4DTgG9n7U4BTs3/rspJUgRfUU2ZP4POS/iPp2qwH28zKLKuL1wLbNKL4CcAvIuKzwCzgOKAyIoYAAyQNbLlIzTqM9UnTYA4FqkgdYs8AU4D+wAt1bNdg/ZQ0vKnrWuynNWvj6k1oI+JrknYG9iWN75oDjI2Il+rZZgFAmh2oTk8BB0XETEk3Ap8jjRdbRdJppKSefv36NfyTmFmzSKoCbgEeA86UdATwdvb6a0S8kV8+IvIff14NnEjqTQN4ENgbeLnI97humzXew6R7nI4DHgG+BAwi9WBfClwAjCzcqJH181PAHU1c57ptVkRDs4KcAowhXW7qQarMD0hq7l3Iz0bEzOz9RNJlrtVExNURMTgiBldXVzfz68ysPpI+C/wLeDwboiXgu6ST6YfAjfVsO4R0g/PbwDvZ6jnAJsXKu26brZX9gWWkGUC2BW4izRDyRETcBGwlqc5zeQP1s0cz1q3Bddus4THWpwGDImJOboWkDUjJ9p3N+N6bJP0YeB44EvhJM/ZlZs0n4PMR8X62vCIi3gLeAp7IbpJacyNpQ+AK4CjSfNfdso964nnyzZotIn4gqQfpqvFK0nl7ZESMl1QN/CYiaopt24j6ubAZ68ysiIYqR2dgW0lDcy/SzQtdGvsFknaQVHijw0WkVvcUYEJEPLw2QZtZyY3LS6ohjaMcmXsQRURcVLhBNnTkTuD8iHgTmES6RAzp6tYbLRuyWccQEYsi4t2IeC8i3smbPOAy4JBi2zSyfjZnnZkV0VCP9VTSeMvHSGOsNmjsjiNiWPbvVArGf0XE86SZQcysdfiypDNJJ+GHSeM3XwXOk7QcODEiVhRs8w1gN2CEpBHAn4CTJG0GHEa6SdnMWoCk/yHNa31qHUUaUz8DGNfEdWZWREM91l2BS0h3F78KfAG4EGj0nNZm1vpFxA2k+XLPknQ98PeIuC0ijgLGA1cW2eb3EdE7IoZlrxuAYcATwP4RMX/d/QRmHYOkjbOp7/YHDo2IZcXKNaZ+ZpMNNGldy/6UZm1XQz3W1RHxAwBJv4uIB0g3Lx7R8qGZ2bqUXS7+oqT/JZ1Ec+t/I+luSd0i4uM6d5DKzqV29gAza4bspsSTSWOc1wM+A2wOXBURo+vZtKhi9bM568xsTQ0l1pMl3UMaCrJA0rdJ47meaenAzGzdUJobc9eImAwQEb+U9Jf8MhExvCzBmXVsVcBWwArSTYOfIA3J3FyS/LRFs9anoXmsvy3pQFLv1XbAfOAPTWkpm1mr9nPgIEk7AN2BGkkbZ59VAFV1PW3VzFpGRCwBRuSvk7Q+8D+kMc9HRcR7ZQnOzIpq8ImHEfEIaVJ6M2uHIiIk5abr+jXpAU4CvgLclv17K2mstZmVUTbe+WJJY4G/SzogIuaVOy4zSzwXpZmtJiIuiIjzgdfz/r2g3HGZWa3sCtKlFLmx2MzKp8EeazPrEDbIHkKRP2bT4zfNWrGIuF3S5HLHYWa13GNtZgB9gbtJ896aWRsREdPLHYOZ1XJibWYA0yLiEKBY75d7rs3MzBrBibWZrUbS9yX9ANhS0vfz/jUzM7N6eIy1WQcnqRLonC2eQ3oQRQ3wcLZuLNClDKGZmZm1KU6szSyAnwFExJQyx2JmZtZmObE26+Aiogb4R7njMDMza+s8xtrMzMzMrAScWJuZmZmZlYATazMzMzOzEnBibWZmZmZWAk6szczMzMxKwIm1mZmZmVkJOLE2MzMzMysBJ9ZmZmZmZiXgxNrMzMzMrARaJLGWtImkcQ2UuVbSBEkjWyIGMzMzM7N1qeSJtaTewA1Aj3rKDAcqI2IIMEDSwFLHYWZmZma2LrVEj/VK4FhgQT1lhgF3ZO8fBPYuLCDpNEkTJU2cPXt2yYM0MzMzMyulkifWEbEgIuY3UKwH8E72fg6wSZH9XB0RgyNicHV1danDNDMzMzMrqXLdvLgQ6Ja971nGOMzMzMzMSqJcCe0kaod/DALeKFMcZmZmZmYl0amlv0DSDsDxEZE/+8c9wDhJmwGHAXu2dBxmZmZmZi2pxXqsI2JY9u/UgqSaiFhAuoHxCWD/RozJNjMzMzNr1Vq8x7ouETGX2plBzMzMzMzaNN80aGZmZmZWAk6szczMzMxKwIm1mZmZmVkJOLE2MzMzMysBJ9ZmZmZmZiXgxNrMmkXSJpLG5S1fK2mCpJH1bWdmZtbeOLE2syaT1Bu4AeiRLQ8HKiNiCDBA0sByxmfWkTWm0ducdWa2JifWZtYcK4FjgQXZ8jBq56d/ENi7cANJp0maKGni7Nmz10mQZh1NYxq9zVlXnp/KrPVzYm1mTRYRCwqenNoDeCd7PwfYpMg2V0fE4IgYXF1dvS7CNOuIGtPobc66NbjRbObE2sxKayHQLXvfEx9jzMqikY3e5qwr9p1uNFuH55OemZXSJGp7swYBb5QvFDPLU6zR25x1ZlaEK4eZldI9wEmSfgEcA9xf5njMLCnW6G3OOjMrolO5AzCzti8ihmX/LpA0DDgYuLTgUrSZlc89wDhJmwGHAXsC0Yx1ZlaEe6zNrKQiYm5E3BERs8odi1lHl9/oJd2E+ASwf0TMb866dfxjmLUZ7rE2MzPrACJiLrWzezR7nZmtyT3WZmZmZmYl4MTazMzMzKwEnFibmZmZmZWAE2szMzMzsxJwYm1mZmZmVgItklhLulbSBEkj6/i8k6S3JD2WvXZuiTjMzMzMzNaVkifWkoYDlRExBBggaWCRYrsAt0XEsOz1XKnjMDMzMzNbl1qix3oYtXNdPkjtY1Dz7Ql8XtJ/st7tNebTlnSapImSJs6ePbsFwjQzMzMzK52WSKx7AO9k7+cAmxQp8xRwUER8GugMfK6wQERcHRGDI2JwdXV1C4RpZmZmZlY6LfHkxYVAt+x9T4on789GxNLs/USg2HARMzMzM7M2oyV6rCdRO/xjEPBGkTI3SRokqRI4EnimBeIwMzMzM1tnWiKxvgc4SdIvgGOAFyRdXFDmIuAmYAowISIeboE4zMzMzMzWmZIPBYmIBZKGAQcDl0bELAp6pCPiedLMIGZmZmZm7UJLjLEmIuZSOzOImZmZmVm75ycvmpmZmZmVgBNrMzMzM7MScGJtZmZmZlYCTqzNzMzMzErAibWZmZmZWQk4sTYzMzMzKwEn1mZmZmZmJeDE2szMzMysBJxYm5mZmZmVgBNrMzMzM7MScGJtZmZmZlYCTqzNzMzMzErAibWZmZmZWQk4sTYzMzMzKwEn1mZmZmZmJeDE2szMzMysBJxYm5mZmZmVgBNrMzMzM7MScGJtZmZmZlYCTqzNzMzMzEqgRRJrSddKmiBpZHPKmFnb47pt1j65bps1rOSJtaThQGVEDAEGSBrYlDJm1va4bpu1T67bZo2jiCjtDqXfAP+IiDGSjgO6RcSfmlDmNOC0bHFbYHodX7kx8EFJf4jSau3xgWMslbpi/GREVK/rYMqhhHW7Lf9/tyaOsTRct123WxvH2Hz1xdfkut2p6fHUqQfwTvZ+DrBbU8pExNXA1Q19maSJETG4aaG2vNYeHzjGUmkLMa4DJanbbeF36RhLwzG2Ga7brYhjbL6Wiq8lxlgvBLpl73vW8R2NKWNmbY/rtln75Lpt1ggtUTEmAXtn7wcBbzSxjJm1Pa7bZu2T67ZZI7TEUJB7gHGSNgMOA46TdHFEjKynzJ7N+L4Gh4uUWWuPDxxjqbSFGFtaqep2W/hdOsbScIxtg+t26+IYm69F4iv5zYsAknoDBwOPR8SsppYxs7bHddusfXLdNmtYiyTWZmZmZmYdjW8+MDMzMzMrASfWZmZmZmYl4MTazMzMzKwEnFibmZmZmZWAE2szMzMzsxJwYm1mZmZmVgJOrM3MzMzMSsCJtZmZmZlZCTixNjMzMzMrASfWZmZmZmYl4MTazMzMzKwEnFibmZmZmZWAE2szMzMzsxJwYm1mZmZmVgJOrM3MzMzMSsCJtZmZmZlZCTixNjMzMzMrASfWZmZmZmYl4MTazMzMzKwEnFibmZmZmZWAE2szMzMzsxJwYm1mZmZmVgJOrM3MzMzMSsCJtZmZmZlZCTixNjMzMzMrASfWZmZmZmYl4MTazMzMzKwEnFibmZmZmZWAE2szMzMzsxJwYm1mZmZmVgJOrM3MzMzMSsCJtZmZmZlZCTixNjMzMzMrASfWZmZmZmYl4MTazMzMzKwEnFibmZmZmZWAE2szMzMzsxJwYm1mZmZmVgJOrM3MzMzMSsCJtZmZmZlZCTixNjMzMzMrASfWZmZmZmYl4MTazMzMzKwEnFibmZmZmZWAE2szMzMzsxJwYm1mZmZmVgJOrM3MzMzMSsCJtZmZmZlZCTixNjMzMzMrASfWZmZmZmYl4MTazMzMzKwEnFibmZmZmZWAE2szMzMzsxJwYm1mZmZmVgJOrM3MzMzMSsCJtZmZmZlZCTixNjMzMzMrASfWZmZmZmYl4MTazMzMzKwEnFibmZmZmZWAE2szMzMzsxJwYm1mZmZmVgJOrM3MzMzMSsCJtZmZmZlZCTixtpKQpHLHUKg1xmTWHqyLuuX6awaS1pfUYrlaS++/I/IvswGSfiHpvwvW3Shp2xJ/z7aSDinlPtd2/0p65i1XSOrRiH0fC5zVzPg+0Zzt63BWFpvZWpN0oaQf1vP5m5I6F6z7i6SD6yg/KHcCk3SJpIvWIpZGHR8kVRUsV9dTtmT13fXX2gNJZ0r6VB2fdZP0H0n9C9ZfK2mfOrb5ZPZvb0ln5a0/SNL3ipS/U9JnC1b/Fjihgbi7SHpQUu8Gyq3V/tfmmJX97rpKGitpZ0nnZEn7VZL2rS+u9qZTuQNozSRtBZwBvCzpG0AlcBVwHLC7pOVAFXA0sBVwE7Cwjt2tB3wpIsbm7b8qIpZli1sBPwEeyD4TUBURS4vEtRzYB9gUuCAi9qgj/rXd/zDgakm7RsQioB8wRVJ1RCyX1KUwHkn9gNOBQ7PlR4CNgBVAF2Bl9j6nAugJfD0i/pW3/oHsQDMmIlYW+3nyvvNS4OBs36t9BLwaEcdky1dl+30iIt6sb59mRSwFop7Pe0fEcoDs+HADsARYXkf5+4AzgXuzcivqKEe2z7Wqv5IqgSclfTUins1W3y9pREQ8VOQrhtHM+p7H9dfalCzp/Qqr18MTgMOz81hOZ+Bq4GJgc+AfkhaTjg9/A44BtpO0ITAfuD0ifiVpIPAvSV8CpgDfkvRRRFwPjADyvyNnObBcUiegO7AMuAPYTFJXUs62MiI+LthuKLBBRMxt4Mde2/2vzTGrEzAyK9MDOC4ifi7pAOBnDcTVrjixroOkjYG7gC8A3UjJ89eACcCBQDVwfEQcnW0yFdhgLfZfBUyStIzak/cKSRNJyWcAHwDFeqnmkRL4BcBHJdz/d4BfAbdI2iL7uTsDE9J5nM6S9sg72QNcBJydWxcRB+bFcCtwV0Tc3cDvYhhQA/QG5knKnXC7AUsiold++Yg4t7795ZVbKukc4IfAyY3ZxjouSV2AZRGRqy81BZ8XJrP5n19ASqwD6Cppf1LifXe27aCs/OhGxrLW9TciVko6n9SbfKqkrQHVkVRDCep7FuswXH+t7VkMTGf1hvCFRcp1BrYANgZ2ICWxnyAlkIOBgcB7wP3AiIiYDBARL0s6FfhkRIyXdCIwX9JhpEbkj3NfkDWKK0j1qILUcXYHKXnP+X722a+AS7Pkf+Ms/i2oPT7kVADrkxrQM5uw/0Yfs7Kk/F3Scal39p2PZz3VPSPitazcGo319ki15xDLl/VWHwkcQPrD3Qj4MO9fSH/UB0XEkmZ8z67AFcABWS9RJSlJPzYipmRlupJauD+KiGWS3iD1GPUFRkbEQZL2Bg6NiJFru/+s3CHAP0gNhuXAYcA2pN753OWfv2U9W7ltugD/iIj96/jZ7gV+nd9LX0e5B4EnI+LCvHXVwFPAyRHxWH3bN0TS48DBHaFCW9NJ+hepF6cG6AVsnX30MqkRW0G6anUR6SS0E/A86QR5EXAp6cS8GHiO1PNzQrbvK4Evs/qxI7JlUXtF68mCmBpVf7Oyj5F6igr/zvsA90bEOXllS1bfXX+tLZN0Oun8+lbBRzsAe0fE1KxcJfAfUqdWAP1JyfUM0rFhPWD/iJiXNYw/Jh0H6rMz0BU4iNSruy3wNnBxRFyfndefjYgFkj6VS9oL4t8MeDqLdwHQPyJeKShz2Nruf22OWZLWJ11R+zSwB+nq/RxgE1IO9TbpithHwK4RUbRDsL1wj3UdIuJVSb8CrqX2kvDJpJbhxVmx6eT1WkmqLHYZNOvpUkTUFH4WEVMkvQ18BvgXcCwwLVtfCdRExBJJw0mXk/5SR8hHUqTHvDH7JyXo15Aq5Yps+VzgW8CD2a6uBB4HFuXtfgDwYh3xQPpdXScpv+ExISK+lluQdDjpCsD4gm3/CFxSeFKWdCMpCVhKqti5eLqTDngVpJP8l/I2ewHYEphWT6zWwUXE3rn3kn5LOjEKeCAizs77rBL4K+nE8WlSndyKdNJ6ldrjwylZ+QHAicD2EfFOtm4UsCIicmXriqkxx4dc78gyUiL7Rv4+JJ1M6lXLLW9Kieq766+1AytJDeTCntlvkTdcKTu3755bzurwvIj/b+/O46uqzv2Pfx4CRASZJI04QAoiOAHa/BRntErFWmvVVm+t9qq9tNa2t7W9t7a2RXtt67Wt915tpdKidrCOP4do0aL9iXKtVMMggxgQCAgyyjyH5Pn9sfYJJyEJGXbOPifn+3699oucdfbZ+8kh65xnr70G/+9GjrsVOJnQ4p1+J6yWmW2Kjv1C1Nq8CviSu0+10Nf7ceAyM5sJ/JeZVQBfT90xMrPzgTuBP7j7huhO+1TCd2+tlh4/en1LPrN2AksIXWV2Ee6qbyS07v/K3f/DzB4FftnRk2pQYn0gJcBjaY/7EfpUp/oXHkZUaaLHE6LbPem3Tolecztp/YyivorvEf4YAX5naYPgzexdQuvYhYQv64eAL9J4Yj0W+JdWHv+jwIPA5dHT1YRE4Rdpxx9MvVvjhFs+DfbpivpwDQSOTLXom9nFpN3SNbNiwsCJ39Z77T8TLkR+U/+47n5t2n7vExKbQ4HfpCdG9WyMYhU5IAuDNbRQzQAAIABJREFUk84ltLocDHzOzP7T3ddB7RcsZpbqrvAjYIi7f9fM/pR2qNQXaS/Cl/SqJs7ZKf3CuxWfDxA+ZyZH3UfS9aXu59jxxFDfVX+lg3gRqGyg/GYglVSOB8ZQt9tIqvvFZ9iXB3QD/gzcAwwnJOIPArvNzAkX6icQ6moJMCg1ToNQHw34YVSH7yb0U54exXAZ8D/AMCA1huIThLFWP48utPdGW+o72Fp5/AJa9pl1JKFr2r8T7niNJzT2dWHfxcgA9n1WdWhKrJt2FLDC3S8FMLMvERLF2xra2d3HAeOaeWwD3nH3kc3c/1HgjuiKtO6BzM4BOrl7eqtRS46/GHjZzC5PK1sDpCcJNzfwulTXmIacASyo102mJ3UT8SrCYIciotb26Bbyjwh9wA4k9UXfWAwp/dh3O0ukUdGX0wPALYQW6D3AfwCPm9kF7r7f4B13nxl9aab0JbRUbYyenwXMsjCq/grCF18/wKML8UJCcvrT9FBo2ecD7j467fc40d0bvA3t7i8TT31X/ZUmRRdfT7p7k38PUbeDF9z9ucxEVnveD9h38drYPoPdvT+hcayh50uAl9396OixRa3Ty6PthKh8JPAbQnexJzxtQG7U3fNmwl2ieYTxD2cQ+ilfQOjONR34qEcDCy3M7vENwmfVV4HPEC7m+0et06lBl79uzfFp2WdWX+Bb0XvUiTCos4rQYj3Vwmwlh7j7hqbe645CiXXTioAzbd+AgH5A16jlNWWOu1/fymOvb+7O7v6+hcGAAxp4ejihwrb6+A3YSWgxS39c3xLg2EZe/zVCi1+63oTb5wBElexhM/tm2j4/Au5P3X5qjJmNApZE3WSa2hVCC93SA+0k+c3CtFIPEhLa5yyaUtPdHzaz0wmtwVelfzlYGPn/kfTDEPpmj6TelHTufgvhS7A5XUFaVH+jL8caQneN6cCdZvZE1I9ycHTeLzfUHS3S4vqu+itNiZKp3xP6/Te131nAYZlOqiNVhIF2xwGX1HuujDCe4T2AqGvoaew/608hcISZ/QNY5e6XmtlHgWmErk6pi+6DCReTvYHro7/7g4FzonPPI4zPeAZ41d1rLIz7+CbhrvI9aUn1ZYS7RS8AO939v4Dbzaw3MNvdS+vF+OWWHD+luZ9Z7j7DQn/t1wnd1j4BXOTuO83sqeicTY616kg0j3UT3P0Jd+8HfJJwq2gtMNHdS6M/3BuBXhYc8L20MNdk6mKmFJjRwniuc/eZDZTf6+7/U6+4xcevpwS4LW0raeC8VcCCqELViq6kR1G3BQxCstBoy5OZHQKkPjDSy8eZ2RH1dv92A8dP7T/IovmFo9b8uWm3w0T2Y2Ee5lcIt0A3mdlc4F+BG81sDuHLdCbwroU5pe8kJAxl1E0c3iBMOXcxMNLMjmtlSC2tv1cTbi+fSqhn/0KYBgxCQnwwMKGJ15fQyvqeovor9VQTxgRsATCzg83sSTN7zcx+HZV1IbR8VprZpxOIMZX0Hk3oxvGnaOtH1NJcu6P7NwktsB8Cl7n7mVH3pc8CK9391NTdbXdf6u5HuvtQdx/m7sOAa4G/pR5H2wB3X0ro6nnLvlPVXgD/mDBW42PU7ao1mZDkp88C0pSWHr81Do/ieZEwVWbq8+sp4GxCK3ZeUGLdiChZPsnM/ocwl+MEwm2V1HN3EKal+V/gImCXmW02s02NbYTBOWdEyfXXaby/dP1YDopu5TRnv8KWHj/9EIQvZwNmpT44og+PWUCntAuDlPHAz6IvVaJE4o/ADe6+IyrraWHqrzNpuC9bp+icQwnz2KbPRNCNcCu+KHrcxcI8uB8lvP8QWuqKot/fCAOnrrN9I5XHt/B9kPyzntC69gV3/4G7nwj8mnAhPdzdvxm13pxBuGtUCox192PdfQqwx8wGuvuv3H1eVE/+HRgafV4UNnXy9H1a8fnQndAn/P8Rje9w9w/c/aJol6eAfwMKoxat2pfSxvoeUf2V/bj7FnffnFY0Dpjn7mcTuisMJySb7xBm1DnF0hZRyZDU7ZKthLr9ULSNJCTQdXKkaHzFc4RZRDCzQwkJeJMXftF+A2hkXnx33+zuC6PzpRZkGUS4E72MMHPID1IXqO6+K+pKYoR62qWh45pZVwt9oVt0/JZ+ZkXeI3RZLYzen+OjlvXHgO8Q5sxvThexnKeuII37COED/THgZg9zxN4EFLq7m9mrwDPunrpi7NrYgeozs+sII/vfbOZLvgh838xSt2l2EW6tpI6XGi1/EKHPY5cWHj+lMDrXZUC1hdtE6Z4kXGDUdvFw9zUWbhH9k5lNIoxQ/vco2UgZRngfX6Dhq9bOhPdvDrDSzN5OHZ6wmMwLHmZB6ES4yCkEPuX75tJdQvhwSE0/toAwgORq4EfuvqZF74LknegW6AP1irtQr167+yLC9Hv154b+DfB02p0rJ8xm8RyhD/FUM9tvwRkzuzT1IyHxPZnwd9uS+tuZ8Bm128wWEWbiWRE9dzCw2t0/YP+5oNtU34kaGlD9leYZCpxuYd7z3oQZJE4iXLyutjDw9yeE6SUzpQuAh7ne69TpqDHrZcJdqHST2JeQX0Nosb7zAOf5HWFmngPtV0j4HHiEME7jl4QW/UMId3neNLMb3P3FtP0PBV63sHCcAyvS6nIhcD37pv1r1vEJLc8t+czqTJjHezahNX+1hb7YXyUMkFxoZjOAH5nZpekX3x2R5rFOgIUBUt3cvbFVGrP6+EmysLrVpib6iorkNNVf6UjMbKq7j7bQF3+zuz9oYZzSUsIKnHvc/T4zuwY42d2/lWjAaazu6qeZPG9PYKvXS9CskSl9s+34+U6JtYiIiLSLtMS6O2Fw8GGEftefJ7SGPkBYSKQLcMWBBr6KZDsl1iIiIiIiMdDgRRERERGRGOTE4MV+/fp5SUlJ0mGItMqMGTPWu3tR0nFkI9VtyWWq241T3ZZc1pa6nROJdUlJCeXlzZ2uUSS7mNmyA++Vn1S3JZepbjdOdVtyWVvqtrqCiIiIiIjEIGOJtZkVm9m06OdeZvaCmU0xs6fNrNlzQIuIiIiIZKOMJNZm1oewqllq6d+rgbvdfQywGrgwE3GIiIiIiLSXTLVYVwNXEuauxN3vi1Y6grDU7dr6LzCzcWZWbmbl69aty1CYIiIiIiKtk5HE2t23uPvm+uVmdhrQx92nN/Caie5e6u6lRUUadC1tVAZ8LfpXRDqEiooyJk/+GhUVqtgisk9ZRQVfmzyZsoqKjJ87sVlBoqVt7wUuTyoGyQMO/BQYT7hv8lvgLuDLwEEJxiUibVJePoEXXvhXamqqKC+/n2OOuZj+/U+ia9dDKCw8pNF/Cwt7UlBQiJkBITlfvHgKgwePYejQSxL+rUSkrR6eM4frnn2WqpoaHpw9m0cuv5xLhg7N2PkTSayjwYpPAN9zd01XJLGxhgpujbZG+C3AcdE2DOjRPrGJSOvdfvvtDZSGiu0OFRVQUeGEHodboudva/BYnTp1pmvXQ+jUqYAdOz4EnNmzH+Tyyx9Rci2Sa16tO63j1cDVZ4/dV7B6K6yuN/XjOaXtFk5SLdY3ACcDt5rZrcAEd38soVgk390NVKU9HsC+RDu1LQX+DowB9L0rkhE1NdWsWPEGCxY8BfRq8etvuGE6u3dvYc+erTz++Ny048KuXXX3raqCRx+dBcyqLRs/fnwrIxeRTFi2aRMDkw6inowm1u4+Ovp3AjAhk+eWDq6acA/kqla8djuwGFgAvJO2TQXqffnyIPAISq5F2kl19R6WLn2FBQueoqLiWbZvX0NBQVfg+y0+1pFHnpr2aG6j+4lI7ti1dy/PvPsuD8yaxctLllAz+pNJh1RHTqy8KNKoKuDPhH7UC2ldYt2F0AVkGNhnWv5yb8UpRWRf/+aBA8+hU6fOvPvuU1RUPMfu3Zvp2rUHQ4ZcxLBhlzFkyFjuvPO/kg5XRBI0e/VqHpg1iz/NmcPGXbsY0KsXPzrnnKTD2o8Sa8lNu4GHgDuBSmAk8GSC8YhIi8yf/xhPP30t1dV7eOutXwPQrVtfjj32Mo499jIGDTqfzp01wlgkH5VVVDBl8WJOP/JINu7axQOzZzNz1Sq6FhTwmWHDuOGkk/j4oEF0Mtuvj3XSlFhLbtlBmNnj58BK4FTC3DKfpIGRiyKSDRoeeAj1u3fs3AmzZ8Ps2TMYP/7i9g9MRLLKjqoqJs2cyXdeeok91dX8+q23ABhRXMw9F17I1cOH07dbt4SjbJoSa8l+ZcBfCK3ULxCWEzqH0GL9cZRQi2SxmprqpEMQkSyyZfduFm/YwHsbNvDZ9TvrPHcw8HUK+PpZDSzIvQt4c367zugRByXWkt0eIMw5vTd6nOrycVZiEYnIAbg7K1ZMZ968R5g//3HgxqRDEpEMcXcenjuXsooKBvTsSa+DDuK9jRt5L0qm127fvm/fLBt4GAcl1pJV9mt8vj7amqDBgyLJc3fWrp3L3LmPMH/+o2zaVElBQSHHHHMxCxYkHZ2INFeqf/OYwYNrF1apcefDHTtYs307a7Ztq/tvvbLV27ZR7XW/mY/s2ZOj+/blU8ccw9F9+9ZuVKxI4ldsV0qsJXvsINwHEpGcUFFRxvz5TwA1rF49m3Xr3sGsgMGDL2D06NsZNuxSCgt7NtHHWkSyRXVNDff84x989+WXqaqpYUJ5OQN69mRXdTXrtm/fL1mGqMW5d2/o3YITnZnWlUOJtUg7WArcB0wCNiQci4gc0J4923j55VsoL5+Aew0A/fody0UX3cdxx11B9+5FCUcoIgdS406n12bUPi4AvkUXvpW+amEDpg7sR3H37hT36BH6PEsdSqwlGQ78jTCjx3NAJ6AVc0hL85lZL+BRwufnduBKwkJNxwF/cfc7ov0mxVkmua/hFuci4Ee1j9avh8mT1zJ58n2AVi3sqMysGHjR3U9KOhZpmRp35q9dyyuVlbxSWcmrlZVsGPXxFh9ndElJ/MF1IEqsJbO2An8AfgW8S/hu/j7wFeDIBOPKD1cDd7v7S2Y2gbCcToG7n2ZmD5jZEODEOMvcfVFCv6vEpKpq54F3knzyCyC75zvLc6k+0hcMGsTRffvySmUlUysreXXZMtbv2AHAR3v35tJhwxKOtGNSYi3trwx4HNgEvEZIrkuB3wOfA7QGREa4+31pD4uALwD/HT2eApwJnET434qrbL/E2szGAeMABgwY0MbfStrL+vUVzJhxP2+//XvgG0mHI1nAzM4j3O1a3cjzqtsZ5u5s2b2bVdu2sWrrVp5fuJB733yTqpqa2jmgAQb26sXFxxzD6IEDGV1SwsDeUafoLFtcpSNQYi3tp4pwp/guoCYqOwf4T8LCLpIIMzsN6ENYs3JlVLwBOBnoHnPZftx9IjARoLS0VJO6ZJHq6j28++4zlJf/hsrKV+jUqTPHHnsZ89WNMu+ZWVfgh4ROe880tI/qdjxSLc6jjjySEcXFtUlznX+3bWPaoBMxoFe0DQPOPehQftlUH+mRIzPzS+QxJdYSm/2myusC/CzaGqFP3swys76Enu2XAzez75ZuD0JP920xl0kO2LhxKTNn/pZZsyaxfftaevcu4eMf/xkjR15Hjx7FzJ+vWT2EW4D73H2TmVblilONOwvWreO1Zct4ZN48/nf5chzqtDin9CwspH+PHvQ/5JDMByrNosRa4lFFSKQla0UtTk8A33P3ZWY2g9BdYzowAqgAVsRcJllqwYKnmTnzd2zfvppVq2ZhZhxzzKcoLf0KgwePwUzXRVLH+cB5ZnYTMNLMfufuX0o6qFy0t6aGt1ev5mOLPgBCC8TxwPEYNw46EQad2PiL01cdVDeOrKTEWtpmMfA74EEa6XUnWeQGQveMW83sVsL/2jVmdjgwFhhFuIkwLcYyySK7dm3mvfdepLx8AsuWvVpbfvzxVzFmzM/p2VMjiKVh7n526mczm6qkuvl2791L+Qcf8NqyZby2fDmvL1/O1j17OuSqg6LEWlpjD2FA4kTgJcLl9sWJRiTN4O4TCNPr1TKzMuAC4C533xyVjY6zTJK1ceNS7rnnD/VKz422YP58mD9/Up09NF2eNMbdRycdQ7Yqq6hg8qJFHHHIIeytqeG15cuZvmIFu/buBeD4oiK+MHw4Zw8cCB/uSjhaaQ9KrKVpZYT5HcYQZidOtU6vBY4Cfgxch6bKy1HuvpF9M3m0S5lklnsNK1e+RUVFGQsXlrF27TzgtqTDEumQ1m3fzttr1jBnzRqeX7iQqZWVtWOHDDi5f39uLC3l7IEDOXPAAPodnLa8sLpydEhKrKVxZcA/EZYan0CY2aOA0Do9DvhE9FhEElVVtYMlS16Okunn2b59DWYFDBx4FmPG/JIpU7YmHaJITquqrqbiww95e/Vq5qxZw9tr1vDiUcMoInQ+P58u3FxyPJQc3/AB1myDNe/U7SMtHZISa6m13zjvSwgzljZBs3qIJGPWrAd5++0/UFW1jbVr57F37y4KC3ty9NFjOeaYTzFkyFi6desLwJQpmtVDpDnKKiooq6hgYK9edO/atTaJfmfdOvZUVwPQtaCA44qKEo5UspUSawkWAsckHYSINGbTpmUsW/Yqy5a9xqJFk9m2bVX0jDFkyCcZNepfGTjwbAoKuiYap0iu2L13LwvWr2fOmjXMXbOGvy1dyqzVdUfhH9ajByOKi7lg0CBGFBcz4rDDGHrooXQpKFBXDmlQxhJrMysGnnT3s6LHkwi9dv/i7ndkKg6J1AD/AJ6NtndR87NIlnB3Nm5cTGXlqzz33Ip6zx4FfLlOyaJFsGjR68DrgAYeiqRzd5Zv3hwS6LVrmbNmDY8WlVAIjIw2CvvCsL5hlZXGDB+ekXglt2UksTazPoQFrLtHjy8DCtz9NDN7wMyGuPt+Sx9LzHYBfyMk0s8RpsfrTFgN8asJxiWS59yd9evfrW2RXrbsVbZu/SB69rYkQxPJGWUVFTy/cCGD+vShZ2Ehc9esYc7atcxbu5Ytu3fX7lfSuzcUlSQXqHRomWqxrgauJKR0AKPZN3PAFMKiEnUSazMbRxgix4ABAzISZIf0h2jbDsyN/j2EMMvwp6N/+yQWnUheevfdZ5g37zEKCw9h584NLFv2Gjt2rAOgR4/+lJScw8CB5zBw4Nncd98TCUcrkp3Wbd/OzFWrmLlqFc8vWsQb779f58Zrr8JChhcX84UTT2R4cTEnFhdzwkc+Qs/CQnXjkHaTkcTa3bcApC2D2h1YGf28gbBoRf3XTCTMlExpaak6KTSHA8uA14BpwGQg1ehlhFk8vkm4rClMID6RPLZ58/ssWfISs2c/xPLl02rLDz64H0cfPbY2ke7b92i0ZLTIPu7Oqm3bmLlqFTM++ICZq1fzbP+jKSJ8rX2Cbnxv8HAY3ERXje3AUUdlKGLJZ0kNXtwGdIt+7kFYYkRayoEF1CbS9jBQEm3XNv8QIhK/Xbs2UVk5lccee7veMx+PtmDHDpgzB+bMWQH8GVAfaclPZRUVTFm8mBGHHcah3brVtkbPXLWKNdvDFFUGDO3XD/ofnWywIo1IKrGeQej+MR0YAVQkFEf2S1+g5SJgNvtapKcBH0b79U8kOhGJVFfvYcWK6Sxe/BJLl77MypVv4l6D+kiLHFhZRQWXP/44e2tqassKzDj+Ix9h7JAhnHzYYZzcvz8jDjuMHl27qiuHZK2kEutngGlmdjihl++ohOLIbv8XuBrYTVigpSthACLAYOBTwNnAWdFjEcmIiooyFi+ewqGHHkNNTTVLlrzEsmWvUlW1A7NOHHHEKZx11q0MGnQ+Dz30StLhimSfeonxJUDV2WMb338XoPFWkgMymli7++jo3y1mNhq4ALjL3TdnMo5s1GCPysujrRHqxiGSWdXVe3jttZ8wbdpPcK+uLT/00KGMHHkdgwZdQEnJaA46qFfaq5RYi4jki8QWiHH3jeybGSQ/OWEulL8BNyYci4g06Pbb669a2An4YZ2SDz8M21tvzQZmq4+0iEie0sqLmfYBIZFObam1H5RYi2SNqqqdLF78V95550lgSNLhiIhIjlBi3Z7KCAux9AO2EhLpd6Pn+gLnUX+CABFJSFXVDhYteoEFC55k4cLn2bNnG9269UWJtYiINJcS6/awEPgZYWGW1ADnroRE+gZCIj0CTTIokpDU4MOBA88CjHfeeZJFi/5CVdUODj64Hyec8HmOO+4KSkpGc8cdP006XBERyRFKrONQDVaQ9vgY4MFoa4IGH4pk3uzZD/H881+munoPb731awC6dy9mxIgvctxxVzBw4Nl06qSPRhERaTl9e7TWNsL80mXA88D6ZMMRkf3tP/Aw5ft1Hm3fDuXlUF4+jfHjz2v/wEREpENSYt0SKwl9pssI/aX3AH0IC7eISFbYsWM9lZVTWbr0FeAjSYcjIiJ5RIl1U54FHiH0hV5IWC8SwmIsNxFmtD8TvYsiGZTqHz148BiGDr2EnTs3UFn5KpWVU6msfIW1a+cC0KVLd+Dfkg1WRETyilLC+pYTWqN/D7yaVj6UMCDxEuBYGlnRRUTaU0VFGU8+eRV79+5kxoz76dnzKDZtqgSczp27MWDAGZxwwlWUlJzL4YeXauChiIhklBLr9cArYJ+NHg8Arou2A9DgQ5H21XAf6e8CUFMDmzbtK927F5YsgWuu+X4DrxEREWl/+ZdYbwOmsW+BltlRubJkEREREWmDjp1YlwEvAkcBuwmJ9HRgL2Fe6dOB/0ALtIiIiIhIm3XcxPoR4AvsW6AFoBT4NiGRPgM4OIG4RERERKRD6hCJdYPjCP8p2hqhnh8iIiIiEictqi0iIiIiEgMl1iIiIiIiMVBiLSIiIiISAyXWIiIickBm1tfMLjCzfknHIpKtlFiL5BkzKzazadHPnc1suZlNjbYTo/JJZvaGmf0g7XWtLhOR3GZmfYDngVOAV8ysKOGQRLKSEmuRPBJ9Of4e6B4VDQcecffR0TbXzC4DCtz9NGCQmQ1pS1nmf0sRaQfDgZvd/SfAX4GTE45HJCslklibWR8zm2xm5WZ2fxIxiOSpauBKYEv0eBRwsZm9GbU0dwZGA49Hz08BzmxjmYjkOHd/1d2nm9nZhFbrN+rvY2bjou/18nXr1mU+SJEskFSL9TXAw+5eChxiZqUJxSGSV9x9i7tvTit6Czjf3U8BugAXEVqzV0bPbwCK21hWh758RXKTmRnhwnwjUFX/eXef6O6l7l5aVKSeIpKfkkqsPwROMLPehAXH308oDpF8N8fdV0U/lwNDgG1At6isB+Fzoi1ldejLVyQ3eXATMAe4JOl4RLJRUon1/wIDgW8ACwgtW3WoVUskI/5oZiPMrAC4FHgbmMG+LhwjgMo2lolIjjOz75rZtdHD3sCmJOMRyVZJLWk+HviKu28xs5uB64CJ6Tu4+8RUWWlpqVYgF2kfPwb+DBhQ5u4vm1lPYJqZHQ6MJfTD9jaUiUjumwg8bmZfAuYRxlCISD1JJdZ9gBPNbDpwKvByQnGI5CV3Hx39O48w2j/9uS1mNhq4ALgr1Se7LWUiktvcfSOhXotIE5JKrH8GPEjoDvIG8EhCcYhIA6Iv0cfjKhMREckHiSTW7v4mcHwS5xYRERERaQ9aIEZEREREJAZKrEVEREREYqDEWkREREQkBkqsRXKMmXUys+5NPPe5TMckIiIiyc0KIiKtVwJcYWZvEaauTGfANWhWDhERkYxTYi2Se/YC1cAPgWlAMXA2MBNYRFikRURERDJMibVIDjGzzsAdwCFAf+AvwBBgKPAm8DrwscQCFBERyWPqYy2Se6YBe6hbf73evyIiIpJharEWySHuvtfMpgC9gCLgXqAbofW6P/B5YG1yEYqIiOQvJdYiuWcAMNvdf1H/CTPrROgeIiIiIhmmxFokh5hZIfB9YJeZndfALp2AlZmNSkRERECJtUhOcffdwFgzGwT8FBgOfBP4MNrFgMKEwhMREclrSqxFcpC7LwGuMrMrgOXu/m7SMYmIiOS7Zs8KotXeRLKPuz+ZnlSb2cgk4xGR7GdBaSPPfTTT8Yh0JC1psS5Bq72JZA0z6+TuNdGARQcmAh8As5ONTERywLNm9hiwBPiHu79lZh8DfgWclmxoIrmrJYm1VnsTyQJm1sXdq4D1ZjYbOAz4BGGBmGozu9rdH040SBHJSmZm7u5m9h5wPzCQMG7jfmA38NlEAxTJcc1KrLXam0hWecjMNhCm3DvPzF5x9/eB35rZQOCvgBJrEWnIC2a2jTAX/tGE7+5SoAw4njA//orkwhPJbS1ZeVGrvYlkAXe/Gng0vcjMeprZA8AGYFUykYlIDrgCGA+8AfwYOAX4jLvfBvwb8Eszs+TCE8ltzWqx1mpvItnF3V9P++4z4HPAH919q5npQldEGvNVwh3n9cAc4L+BpWb2MHAC8F1312eISCu1pI+1VnsTyQJmNgr497QiB54Cbjazc4DBiQQmIrmgJ+Ez43RCl4/OwNuEQc8XA/OTC00k9zW3j3W7rfZmZvcBL7j7c615vUge6gf8CzAv6v7RD9gGvAJsBB5IMDYRyW4vE2b9uAr4G/AZYAShBfsuwnf9DxKLTiTHNbcrSLus9mZmZwGHKakWaT53fx4gmoc2Ne7hYEL/yF3AncDyxAIUkWx2LrCFMK3eUEI/69OB6e7+RzN7JDWVZ5JBiuSqlq68uNLdr4oWg9nq7jNae2Iz6wL8FphsZp9292dbeyyRfOTu9e8SXWhm/QkXuiIi+3H38dFib70IU+h2Bn7g7n83syLgHiXVIq3XkpUXC4AXAdz9ccIto7a4FngnOs4pZvb1eucbZ2blZla+bt26Np5KpGOJumelVlA7NVXu7qvc/YPkIhORbOfu2939A3df4+4r3f3v0VO/IMyJLyKt1OzE2t2rCdN6PRh9kbd11PBJwER3Xw38iXB7Kv18E9291N1Li4qK2ngqkY6j3kWuE74MRURazcy+QZjX+qfpDBYqAAAPEklEQVRJxyKSy1oyjzWEW8yPAV+L4dzvAYOin0uBZTEcU6TDa4eLXBHJU2bWz8wmERq3LnT3PUnHJJLLmjsrSDGhVazK3V8EXjSz19p47knAA2Z2FdCFMGm9iDRPnBe5IpIHoqlx/5kwi9AhwKnAEcD97l6WYGgiHUZzBy9uAf4IfMfM+gFntPXE7r4V+GxbjyOST9rpIldE8kNXwjz3e4EewFFAb+AIMzMtDCPSds3qCuLuO919CiERfxY4rF2jEpHGpC5yU7dwP51wPCKSI9x9l7vf6u7j3f3b7j6WMFjxUGBadOHeIDPrZWYvmNkUM3vazLpmLHCRHNLSPtbu7me4+/1AsZl9xsxKzayl0/aJSCvEcZFrZsVmNi3t8SQze8PMftBeZSKSndx9i7vfQVjN9QUz693IrlcDd7v7GGA1cGGmYhTJJS2Zbs+An6cVPUhYrelLwEwz+37MsYlI41p1kWtmfYDfA92jx5cBBe5+GjDIzIbEXdZu74CIxCaacu8u4L5Gnr/P3V+KHhYBa+vvo2lyRVqwQEzU9+rFtMd3pn42s4OAb5lZT3ffEm+IIpKuiYvcTwCnm9mj7t7YlFnVwJWE1m6A0cDj0c9TgDMJU2HGWbaoXvzjgHEAAwYMaMZvLCKZ4O6PmtmspvYxs9OAPu4+vYHXTwQmApSWlqq/tuSllnYFaVDUb+tnSqpF2p8HdS5y3f02d/8KYZR/jZn1bOS1W9x9c1pRdyC1guMGoLgdyurHoDnqRbKUu1c09pyZ9QXuBa7PXEQiuSWWxFpEMi9q+a1vDzC2BRe524Bu0c89CJ8JcZeJSI6LBis+AXzP3bXuhEgj9KUnkruugbASo5lNhtrFY1qywMMMQncNCN1JKtuhTERy3w3AycCtZjbVzK5MOiCRbKTZPERy114IybSZdUsrb0nfxmcI02wdDowFRkWvj7NMRHKcu08AJiQdh0i2U2ItkmPM7HpCUl1sZtcSVmFM//mA3H109O8WMxsNXADclep/HXeZiIhIPlBiLZJ7+gJVQBfCqmlW7+cWcfeN7JvJo13KRERE8oESa5Ec4+6/ADCzS939nujnT6f9/Mkk4xMREclXSqxFcoyZXQqcQph1AzPrBByUaFAiIiKiWUFEctDrwBxglZn9hTBS/0yoTbK7JhibiIhI3lKLtUiOcfd1wKPAo2Z2MtDD3Wui52rM7NuJBigiIpKnlFiL5DB3n9lA2YwkYhEREcl36goiIiIiIhIDJdYiIiIiIjFQYi0iIiIiEgMl1iIiIiIiMVBiLSIiIiISg0QTazMrNrNZScYgIiIiIhKHpFusfwF0SzgGEREREZE2SyyxNrPzgO3A6qRiEBERERGJSyKJtZl1BX4I3NLEPuPMrNzMytetW5e54EREREREWiGpFutbgPvcfVNjO7j7RHcvdffSoqKiDIYmIiIiItJySSXW5wM3mdlUYKSZ/S6hOEREREREYtE5iZO6+9mpn81sqrt/KYk4RERERETikvSsILj76KRjEBERERFpq8QTaxERERGRjkCJtYiIiIhIDJRYi4iIiIjEQIm1iIiIiEgMlFiLiIiIiMRAibWIiIiISAyUWIuIiIiIxECJtYiIiIhIDJRYi4iIiIjEQIm1iIiIiEgMlFiLiIjIAZlZsZlNSzoOkWymxFokj5lZZzNbbmZTo+1EM5tkZm+Y2Q/S9mt1mYjkPjPrA/we6J50LCLZTIm1SH4bDjzi7qPdfTQwBChw99OAQWY2xMwua21ZQr+TiMSvGrgS2JJ0ICLZrHPSAYhIokYBF5vZucBcYDfwePTcFOBM4KQ2lC2qf0IzGweMAxgwYEC8v42ItAt33wJgZo3uo7otohZrkXz3FnC+u58CdAHGAiuj5zYAxYRbv60t24+7T3T3UncvLSoqive3EZHEqG6LKLEWyXdz3H1V9HM50A/oFj3uQfiM2NaGMhERkbyhLz6R/PZHMxthZgXApcBNhC4cACOASmBGG8pERETyhvpYi+S3HwN/BgwoA54BppnZ4YRuIaMAb0OZiHQg0SBnEWmEWqxF8pi7z3P34e5+orvfGg1QGg1MB851981tKcv8byQiIpIctViLSB3uvpF9s3u0uUxERCRfJJZYm1kv4FGgANgOXOnue5KKR0RERESkLZLsCnI1cLe7jwFWAxcmGIuIiIiISJsk1mLt7velPSwC1iYVi4iIiIhIWyU+eNHMTgP6uPv0euXjzKzczMrXrVuXUHQiIiIiIs2TaGJtZn2Be4Hr6z+nFZxEREREJJckllibWVfgCeB77r4sqThEREREROKQZIv1DcDJwK1mNtXMrkwwFhERERGRNkly8OIEYEJS5xcRERERiVPigxdFRERERDoCJdYiIiIiIjFQYi0iIiIiEgMl1iIiIiIiMVBiLSIiIiISAyXWIiIiIiIxUGItIiIiIhIDJdYiIiIiIjFQYi0iIiIiEgMl1iIiIiIiMVBiLSIiIiISAyXWIiIiIiIxUGItIiIiIhIDJdYiIiIiIjFQYi0iIiIiEgMl1iIiIiIiMVBiLSIiIiISAyXWIiIiIiIxUGItIiIiIhIDJdYiIiIiIjFQYi0iIiIiEoNEE2szm2Rmb5jZD5KMQ0Tio3ot0jGpboscWGKJtZldBhS4+2nAIDMbklQsIhIP1WuRjkl1W6R5zN2TObHZPcCL7j7ZzK4Curn7g2nPjwPGRQ+HAhWNHKofsL5dg22bbI8PFGNcGotxoLsXZTqYJByoXkf7NKdu5/L/dzZRjPFQ3VbdzjaKse2aiq/Vdbtz6+Nps+7AyujnDcDJ6U+6+0Rg4oEOYmbl7l4af3jxyPb4QDHGJRdizIAm6zU0r27nwnupGOOhGHOG6nYWUYxt117xJdnHehvQLfq5R8KxiEg8VK9FOibVbZFmSLJizADOjH4eAVQmF4qIxET1WqRjUt0WaYYku4I8A0wzs8OBscCoVh7ngN1FEpbt8YFijEsuxNje8qVeg2KMi2LMDarb2UUxtl27xJfY4EUAM+sDXAC85u6rEwtERGKjei3SMaluixxYoom1iIiIiEhHocEHkpXMrK+ZXWBm/ZKOpSHZHp9INsqFepMLMYpkm1yoN5mKMSsSazPrZWYvmNkUM3vazLrWX+GpkX32K2vk+J3NbLmZTY22EzMYY7PP3dZVrdoQ441p8c02s/sbOX6m3sc+wPPAKcArZlbUkvenLe9ja+PL5N9iLsn2uq16nR/1ui0xqm7vL9vrdRtjVN1ueYyq22myIrEGrgbudvcxwGrgKvZf4an+Phc2UtaQ4cAj7j462uZmMMZmndviWdWqVTG6+4RUfMA04LeNHD9T7+Nw4GZ3/wnwV+Dk5r4/MbyPrYqvgde1599iLsn2uq16nR/1utUxNvA61e3sr9dtiVF1u+Uxqm6nc/es2oAngSnARdHjq4DrGthn1IHK0p77KjAfeBOYBHTOVIzNPTdwT1PHy8T7CBwBPN7EMTP6PgJnA68BPZv7/sT5PrYkvqT+FnNpy/a6rXqdH/W6pTEm8beYS1u21+uWxqi6HU+9yee6nS0t1gCY2WlAH+B96q7wVFx/H3ef3lRZPW8B57v7KUAX4KIMxtjcc9df1aq4kf3aI8aUm4AJTRw6Y++jmRlwJbARqKL5708s72Mr4qvzukz8LeaSbK/bqtf5Ua9bGWOd16lu75Pt9bqVMaputyJG1e19siaxNrO+wL3A9TSywlO9fRp6XWPmuPuq6OdyoDW3GlobY3PPHcuqVm14HzsB5wJTmzh8xt5HD24C5gCXNLZfA9r8PrYyvoz+LeaSbK/bqtf5Ua/bEKPqdgOyvV63IUbV7VbEqLq9T1Yk1lGH8SeA77n7MhpY4amBfRp6XWP+aGYjzKwAuBR4O1MxtuDcbV7Vqg0xApwF/MOj+x6NyNT7+F0zuzYq6w1sami/Rk7RpvextfFl8m8xl2R73Va9btHv0tYYE6vXbYlRdXt/2V6v2xJjC86tuq263bCm+olkagNuJDTNT422L0aB3w0sAHo1sM+VjZQdB9xR7/gnEK5Q5gI/yXCM+527kRh71j9epmKMXvtT4LK0YyX5PvYBXiL0g7oPsIben/Z4H9sQX8b+FnNpa0O9ycj72Yb4VK9zqF6rbudXvVbdVt1uZozt8veYtQvEWA6s8BR3jO3xO3ek9zHu/eKOT5on29/PXPj7yfb3ELK/XrfXMfNVLryXqtvxUN0+wLmzNbEWEREREcklWdHHWkREREQk1ymxFhERERGJgRJrEREREZEYKLEWEREREYmBEmsRERERkRgosRYRERERiYESaxERERGRGCixFhERERGJgRJrEREREZEYKLEWEREREYmBEmsRERERkRgosRYRERERiYESaxERERGRGCixFhERERGJgRJrEREREZEYKLEWEREREYmBEmsRERERkRgosRYRERERiYESaxERERGRGCixFhERERGJgRJrEREREZEYKLEWEREREYmBEmsRERERkRgosRYRERERiYESaxGRLGNmhWY2OOk4RESkZZRYi4hkn88D9za1g5n9zMxKzayTmZ1jZoPN7EsZik9ERBpg7p50DCIiEjGzImA2sBjYAvQHVhEaQrq5+7lmdhDwEjAaGAX8M/BV4C/uPiaBsEVEBOicdAAiIhKYWRfgYeBed78zKpvu7hfX2/XLwKvuXm1mNwL/6e5VZlZhZqe7+98zHLqIiKAWaxGRrGFmJcD1QE/g6Kj4DOANQkNIGfAs8HdgEvAqcJ27Xxu9/lDgKeBid9+aydhFRESJtYhI1jGz/weMcfe9UYv1qLTnPg/0AwYDpwIrgfOAt4GjgPmELiH3Zz5yEZH8pq4gIiJZwswKoh8bbPEws07AY8BpQF9CQr0HKHP3i8zse0C5u7+UiXhFRKQuJdYiItljHPBpYCfwjJkBDDWz56PnC4CngXcA3H2Hmf0fYF70fCGwI6MRi4hILSXWIiJZwt0nABPSy8zsH/UHL5rZ2UAnM+sK3AZ8J3qqCNicgVBFRKQBSqxFRLJbjwbKCoGuwC+BP7v7AjN7COgDLMxgbCIikkaDF0VEcpSZmetDXEQkayixFhERERGJgZY0FxERERGJgRJrEREREZEYKLEWEREREYmBEmsRERERkRj8fysXKjCDuIi1AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x576 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# x 轴数据\n",
    "x = np.arange(2023, 2033)\n",
    "\n",
    "# 共享每一列子图之间的 x 轴\n",
    "fig, ax_arr = plt.subplots(2, 3, sharex='col', figsize=(12, 8))\n",
    "\n",
    "ax1 = ax_arr[0, 0]\n",
    "ax1.plot(x, y1, color='r', linewidth=2)\n",
    "ax1.bar(x, y1, color='b', zorder=3)  \n",
    "ax1.scatter(x, y1, color='r', zorder=3, s=10)\n",
    "ax1.set_title('人均本地生产总值（亿元）')\n",
    "ax1.set_ylabel('GDP')\n",
    "\n",
    "ax2 = ax_arr[0, 1]\n",
    "ax2.plot(x, y2, color='purple')\n",
    "ax2.bar(x, y2, color='g', zorder=3)\n",
    "ax2.scatter(x, y2, color='purple', zorder=3, s=10)\n",
    "ax2.set_title('工业增加值占 GDP 比重')\n",
    "ax2.set_ylabel('百分比')\n",
    "\n",
    "ax3 = ax_arr[0, 2]\n",
    "ax3.plot(x, y3, color='brown')\n",
    "ax3.bar(x, y3, color='orange', zorder=3)\n",
    "ax3.scatter(x, y3, color='brown', zorder=3, s=10)\n",
    "ax3.set_title('留宿旅客')\n",
    "ax3.set_ylabel('人数')\n",
    "\n",
    "ax4 = ax_arr[1, 0]\n",
    "ax4.plot(x, y4, color='magenta')\n",
    "ax4.bar(x, y4, color='cyan', zorder=3)\n",
    "ax4.scatter(x, y4, color='magenta', zorder=3, s=10)\n",
    "ax4.set_title('第三产业产值(万亿元)')\n",
    "ax4.set_ylabel('产值')\n",
    "\n",
    "ax5 = ax_arr[1, 1]\n",
    "ax5.plot(x, y5, color='olive')\n",
    "ax5.bar(x, y5, color='gray', zorder=3)\n",
    "ax5.scatter(x, y5, color='olive', zorder=3, s=10)\n",
    "ax5.set_title('本地生产总值(亿元)')\n",
    "ax5.set_ylabel('生产总值')\n",
    "\n",
    "ax6 = ax_arr[1, 2]\n",
    "ax6.plot(x, y6, color='teal')\n",
    "ax6.bar(x, y6, color='pink', zorder=3)\n",
    "ax6.scatter(x, y6, color='teal', zorder=3, s=10)\n",
    "ax6.set_title('高等学校在校生数')\n",
    "ax6.set_ylabel('人数')\n",
    "\n",
    "fig.text(0.5, 0.04, '年份', ha='center')\n",
    "\n",
    "plt.subplots_adjust(wspace=0.4, hspace=0.5)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
